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Finding the Fourth Proportional to 17,564.98, 24,240.27 and 9,607.20

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Solution

The fourth proportional to 17,564.98, 24,240.27 and 9,607.20 is: 13,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.98 : 24,240.27 = 9,607.20 : x
  2. Step 2: Convert to fraction form
    17,564.98/24,240.27 = 9,607.20/x
  3. Step 3: Cross multiply
    17,564.98x = 24,240.27 × 9,607.20
  4. Step 4: Simplify right side
    17,564.98x = 232,881,121.94
  5. Step 5: Solve for x
    x = 232,881,121.94/17,564.98
  6. Step 6: Final answer
    x = 13,258.26

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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.