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Finding the Fourth Proportional to 17,211.60, 23,752.36 and 9,658.47

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Solution

The fourth proportional to 17,211.60, 23,752.36 and 9,658.47 is: 13,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.60 : 23,752.36 = 9,658.47 : x
  2. Step 2: Convert to fraction form
    17,211.60/23,752.36 = 9,658.47/x
  3. Step 3: Cross multiply
    17,211.60x = 23,752.36 × 9,658.47
  4. Step 4: Simplify right side
    17,211.60x = 229,411,491.72
  5. Step 5: Solve for x
    x = 229,411,491.72/17,211.60
  6. Step 6: Final answer
    x = 13,328.89

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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.