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Finding the Fourth Proportional to 29,085.18, 43,562.16 and 13,470

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Solution

The fourth proportional to 29,085.18, 43,562.16 and 13,470 is: 20,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,085.18 : 43,562.16 = 13,470 : x
  2. Step 2: Convert to fraction form
    29,085.18/43,562.16 = 13,470/x
  3. Step 3: Cross multiply
    29,085.18x = 43,562.16 × 13,470
  4. Step 4: Simplify right side
    29,085.18x = 586,782,295.20
  5. Step 5: Solve for x
    x = 586,782,295.20/29,085.18
  6. Step 6: Final answer
    x = 20,174.61

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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.