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Finding the Fourth Proportional to 24,685.10, 37,011.24 and 13,597

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Solution

The fourth proportional to 24,685.10, 37,011.24 and 13,597 is: 20,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,685.10 : 37,011.24 = 13,597 : x
  2. Step 2: Convert to fraction form
    24,685.10/37,011.24 = 13,597/x
  3. Step 3: Cross multiply
    24,685.10x = 37,011.24 × 13,597
  4. Step 4: Simplify right side
    24,685.10x = 503,241,830.28
  5. Step 5: Solve for x
    x = 503,241,830.28/24,685.10
  6. Step 6: Final answer
    x = 20,386.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.