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Finding the Fourth Proportional to 14,778.84, 20,398.14 and 10,065

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Solution

The fourth proportional to 14,778.84, 20,398.14 and 10,065 is: 13,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.84 : 20,398.14 = 10,065 : x
  2. Step 2: Convert to fraction form
    14,778.84/20,398.14 = 10,065/x
  3. Step 3: Cross multiply
    14,778.84x = 20,398.14 × 10,065
  4. Step 4: Simplify right side
    14,778.84x = 205,307,279.10
  5. Step 5: Solve for x
    x = 205,307,279.10/14,778.84
  6. Step 6: Final answer
    x = 13,891.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.