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Finding the Fourth Proportional to 24,986.50, 34,478.04 and 16,046.12

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Solution

The fourth proportional to 24,986.50, 34,478.04 and 16,046.12 is: 22,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,986.50 : 34,478.04 = 16,046.12 : x
  2. Step 2: Convert to fraction form
    24,986.50/34,478.04 = 16,046.12/x
  3. Step 3: Cross multiply
    24,986.50x = 34,478.04 × 16,046.12
  4. Step 4: Simplify right side
    24,986.50x = 553,238,697.07
  5. Step 5: Solve for x
    x = 553,238,697.07/24,986.50
  6. Step 6: Final answer
    x = 22,141.50

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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.