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Finding the Fourth Proportional to 17,200.47, 23,737.80 and 9,647.31

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Solution

The fourth proportional to 17,200.47, 23,737.80 and 9,647.31 is: 13,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.47 : 23,737.80 = 9,647.31 : x
  2. Step 2: Convert to fraction form
    17,200.47/23,737.80 = 9,647.31/x
  3. Step 3: Cross multiply
    17,200.47x = 23,737.80 × 9,647.31
  4. Step 4: Simplify right side
    17,200.47x = 229,005,915.32
  5. Step 5: Solve for x
    x = 229,005,915.32/17,200.47
  6. Step 6: Final answer
    x = 13,313.93

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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.