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Finding the Fourth Proportional to 14,084.11, 19,432.86 and 8,417.90

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Solution

The fourth proportional to 14,084.11, 19,432.86 and 8,417.90 is: 11,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.11 : 19,432.86 = 8,417.90 : x
  2. Step 2: Convert to fraction form
    14,084.11/19,432.86 = 8,417.90/x
  3. Step 3: Cross multiply
    14,084.11x = 19,432.86 × 8,417.90
  4. Step 4: Simplify right side
    14,084.11x = 163,583,881.90
  5. Step 5: Solve for x
    x = 163,583,881.90/14,084.11
  6. Step 6: Final answer
    x = 11,614.78

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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.