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Finding the Fourth Proportional to 17,868.47, 24,658.45 and 9,802.17

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Solution

The fourth proportional to 17,868.47, 24,658.45 and 9,802.17 is: 13,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.47 : 24,658.45 = 9,802.17 : x
  2. Step 2: Convert to fraction form
    17,868.47/24,658.45 = 9,802.17/x
  3. Step 3: Cross multiply
    17,868.47x = 24,658.45 × 9,802.17
  4. Step 4: Simplify right side
    17,868.47x = 241,706,294.33
  5. Step 5: Solve for x
    x = 241,706,294.33/17,868.47
  6. Step 6: Final answer
    x = 13,526.98

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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.