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Finding the Fourth Proportional to 24,506.55, 33,821.55 and 14,438.16

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Solution

The fourth proportional to 24,506.55, 33,821.55 and 14,438.16 is: 19,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.55 : 33,821.55 = 14,438.16 : x
  2. Step 2: Convert to fraction form
    24,506.55/33,821.55 = 14,438.16/x
  3. Step 3: Cross multiply
    24,506.55x = 33,821.55 × 14,438.16
  4. Step 4: Simplify right side
    24,506.55x = 488,320,950.35
  5. Step 5: Solve for x
    x = 488,320,950.35/24,506.55
  6. Step 6: Final answer
    x = 19,926.14

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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.