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Finding the Fourth Proportional to 24,294.60, 36,421.65 and 10,265.40

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Solution

The fourth proportional to 24,294.60, 36,421.65 and 10,265.40 is: 15,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.60 : 36,421.65 = 10,265.40 : x
  2. Step 2: Convert to fraction form
    24,294.60/36,421.65 = 10,265.40/x
  3. Step 3: Cross multiply
    24,294.60x = 36,421.65 × 10,265.40
  4. Step 4: Simplify right side
    24,294.60x = 373,882,805.91
  5. Step 5: Solve for x
    x = 373,882,805.91/24,294.60
  6. Step 6: Final answer
    x = 15,389.54

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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.