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Finding the Fourth Proportional to 29,142.18, 43,647.66 and 13,527

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Solution

The fourth proportional to 29,142.18, 43,647.66 and 13,527 is: 20,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.18 : 43,647.66 = 13,527 : x
  2. Step 2: Convert to fraction form
    29,142.18/43,647.66 = 13,527/x
  3. Step 3: Cross multiply
    29,142.18x = 43,647.66 × 13,527
  4. Step 4: Simplify right side
    29,142.18x = 590,421,896.82
  5. Step 5: Solve for x
    x = 590,421,896.82/29,142.18
  6. Step 6: Final answer
    x = 20,260.05

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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.