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Finding the Fourth Proportional to 16,491.60, 24,734.16 and 9,558

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Solution

The fourth proportional to 16,491.60, 24,734.16 and 9,558 is: 14,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.60 : 24,734.16 = 9,558 : x
  2. Step 2: Convert to fraction form
    16,491.60/24,734.16 = 9,558/x
  3. Step 3: Cross multiply
    16,491.60x = 24,734.16 × 9,558
  4. Step 4: Simplify right side
    16,491.60x = 236,409,101.28
  5. Step 5: Solve for x
    x = 236,409,101.28/16,491.60
  6. Step 6: Final answer
    x = 14,335.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.