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Finding the Fourth Proportional to 17,136.18, 23,648.49 and 9,582.30

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Solution

The fourth proportional to 17,136.18, 23,648.49 and 9,582.30 is: 13,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136.18 : 23,648.49 = 9,582.30 : x
  2. Step 2: Convert to fraction form
    17,136.18/23,648.49 = 9,582.30/x
  3. Step 3: Cross multiply
    17,136.18x = 23,648.49 × 9,582.30
  4. Step 4: Simplify right side
    17,136.18x = 226,606,925.73
  5. Step 5: Solve for x
    x = 226,606,925.73/17,136.18
  6. Step 6: Final answer
    x = 13,223.89

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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.