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Finding the Fourth Proportional to 13,678.32, 18,874.95 and 7,711.45

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Solution

The fourth proportional to 13,678.32, 18,874.95 and 7,711.45 is: 10,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.32 : 18,874.95 = 7,711.45 : x
  2. Step 2: Convert to fraction form
    13,678.32/18,874.95 = 7,711.45/x
  3. Step 3: Cross multiply
    13,678.32x = 18,874.95 × 7,711.45
  4. Step 4: Simplify right side
    13,678.32x = 145,553,284.93
  5. Step 5: Solve for x
    x = 145,553,284.93/13,678.32
  6. Step 6: Final answer
    x = 10,641.17

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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.