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Finding the Fourth Proportional to 17,564.55, 24,239.55 and 9,607.24

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Solution

The fourth proportional to 17,564.55, 24,239.55 and 9,607.24 is: 13,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.55 : 24,239.55 = 9,607.24 : x
  2. Step 2: Convert to fraction form
    17,564.55/24,239.55 = 9,607.24/x
  3. Step 3: Cross multiply
    17,564.55x = 24,239.55 × 9,607.24
  4. Step 4: Simplify right side
    17,564.55x = 232,875,174.34
  5. Step 5: Solve for x
    x = 232,875,174.34/17,564.55
  6. Step 6: Final answer
    x = 13,258.25

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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.