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Finding the Fourth Proportional to 29,248.32, 43,868.16 and 10,776

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Solution

The fourth proportional to 29,248.32, 43,868.16 and 10,776 is: 16,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,248.32 : 43,868.16 = 10,776 : x
  2. Step 2: Convert to fraction form
    29,248.32/43,868.16 = 10,776/x
  3. Step 3: Cross multiply
    29,248.32x = 43,868.16 × 10,776
  4. Step 4: Simplify right side
    29,248.32x = 472,723,292.16
  5. Step 5: Solve for x
    x = 472,723,292.16/29,248.32
  6. Step 6: Final answer
    x = 16,162.41

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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.