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Finding the Fourth Proportional to 24,065.02, 36,097.80 and 10,916.02

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Solution

The fourth proportional to 24,065.02, 36,097.80 and 10,916.02 is: 16,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.02 : 36,097.80 = 10,916.02 : x
  2. Step 2: Convert to fraction form
    24,065.02/36,097.80 = 10,916.02/x
  3. Step 3: Cross multiply
    24,065.02x = 36,097.80 × 10,916.02
  4. Step 4: Simplify right side
    24,065.02x = 394,044,306.76
  5. Step 5: Solve for x
    x = 394,044,306.76/24,065.02
  6. Step 6: Final answer
    x = 16,374.15

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Why These Related Problems?

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