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Finding the Fourth Proportional to 24,214.72, 36,322.80 and 10,354.72

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Solution

The fourth proportional to 24,214.72, 36,322.80 and 10,354.72 is: 15,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.72 : 36,322.80 = 10,354.72 : x
  2. Step 2: Convert to fraction form
    24,214.72/36,322.80 = 10,354.72/x
  3. Step 3: Cross multiply
    24,214.72x = 36,322.80 × 10,354.72
  4. Step 4: Simplify right side
    24,214.72x = 376,112,423.62
  5. Step 5: Solve for x
    x = 376,112,423.62/24,214.72
  6. Step 6: Final answer
    x = 15,532.39

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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.