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Finding the Fourth Proportional to 17,733.96, 24,472.86 and 9,776.16

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Solution

The fourth proportional to 17,733.96, 24,472.86 and 9,776.16 is: 13,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.96 : 24,472.86 = 9,776.16 : x
  2. Step 2: Convert to fraction form
    17,733.96/24,472.86 = 9,776.16/x
  3. Step 3: Cross multiply
    17,733.96x = 24,472.86 × 9,776.16
  4. Step 4: Simplify right side
    17,733.96x = 239,250,595.02
  5. Step 5: Solve for x
    x = 239,250,595.02/17,733.96
  6. Step 6: Final answer
    x = 13,491.10

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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.