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Finding the Fourth Proportional to 29,238.88, 43,864.80 and 13,648

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Solution

The fourth proportional to 29,238.88, 43,864.80 and 13,648 is: 20,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238.88 : 43,864.80 = 13,648 : x
  2. Step 2: Convert to fraction form
    29,238.88/43,864.80 = 13,648/x
  3. Step 3: Cross multiply
    29,238.88x = 43,864.80 × 13,648
  4. Step 4: Simplify right side
    29,238.88x = 598,666,790.40
  5. Step 5: Solve for x
    x = 598,666,790.40/29,238.88
  6. Step 6: Final answer
    x = 20,475.02

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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.