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Finding the Fourth Proportional to 10,459.10, 14,432.90 and 9,623.18

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Solution

The fourth proportional to 10,459.10, 14,432.90 and 9,623.18 is: 13,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.10 : 14,432.90 = 9,623.18 : x
  2. Step 2: Convert to fraction form
    10,459.10/14,432.90 = 9,623.18/x
  3. Step 3: Cross multiply
    10,459.10x = 14,432.90 × 9,623.18
  4. Step 4: Simplify right side
    10,459.10x = 138,890,394.62
  5. Step 5: Solve for x
    x = 138,890,394.62/10,459.10
  6. Step 6: Final answer
    x = 13,279.38

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Why These Related Problems?

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