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Finding the Fourth Proportional to 10,585.56, 14,577.24 and 9,909.40

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Solution

The fourth proportional to 10,585.56, 14,577.24 and 9,909.40 is: 13,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.56 : 14,577.24 = 9,909.40 : x
  2. Step 2: Convert to fraction form
    10,585.56/14,577.24 = 9,909.40/x
  3. Step 3: Cross multiply
    10,585.56x = 14,577.24 × 9,909.40
  4. Step 4: Simplify right side
    10,585.56x = 144,451,702.06
  5. Step 5: Solve for x
    x = 144,451,702.06/10,585.56
  6. Step 6: Final answer
    x = 13,646.11

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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.