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Finding the Fourth Proportional to 23,035.47, 34,531.31 and 9,004.50

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Solution

The fourth proportional to 23,035.47, 34,531.31 and 9,004.50 is: 13,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.47 : 34,531.31 = 9,004.50 : x
  2. Step 2: Convert to fraction form
    23,035.47/34,531.31 = 9,004.50/x
  3. Step 3: Cross multiply
    23,035.47x = 34,531.31 × 9,004.50
  4. Step 4: Simplify right side
    23,035.47x = 310,937,135.87
  5. Step 5: Solve for x
    x = 310,937,135.87/23,035.47
  6. Step 6: Final answer
    x = 13,498.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.