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Finding the Fourth Proportional to 24,949.71, 34,430.58 and 13,771.71

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Solution

The fourth proportional to 24,949.71, 34,430.58 and 13,771.71 is: 19,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.71 : 34,430.58 = 13,771.71 : x
  2. Step 2: Convert to fraction form
    24,949.71/34,430.58 = 13,771.71/x
  3. Step 3: Cross multiply
    24,949.71x = 34,430.58 × 13,771.71
  4. Step 4: Simplify right side
    24,949.71x = 474,167,962.89
  5. Step 5: Solve for x
    x = 474,167,962.89/24,949.71
  6. Step 6: Final answer
    x = 19,004.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.