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Finding the Fourth Proportional to 17,002.92, 23,462.54 and 9,448.78

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Solution

The fourth proportional to 17,002.92, 23,462.54 and 9,448.78 is: 13,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.92 : 23,462.54 = 9,448.78 : x
  2. Step 2: Convert to fraction form
    17,002.92/23,462.54 = 9,448.78/x
  3. Step 3: Cross multiply
    17,002.92x = 23,462.54 × 9,448.78
  4. Step 4: Simplify right side
    17,002.92x = 221,692,214.14
  5. Step 5: Solve for x
    x = 221,692,214.14/17,002.92
  6. Step 6: Final answer
    x = 13,038.48

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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.