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Finding the Fourth Proportional to 29,686.32, 44,509.92 and 12,138.48

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Solution

The fourth proportional to 29,686.32, 44,509.92 and 12,138.48 is: 18,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.32 : 44,509.92 = 12,138.48 : x
  2. Step 2: Convert to fraction form
    29,686.32/44,509.92 = 12,138.48/x
  3. Step 3: Cross multiply
    29,686.32x = 44,509.92 × 12,138.48
  4. Step 4: Simplify right side
    29,686.32x = 540,282,773.72
  5. Step 5: Solve for x
    x = 540,282,773.72/29,686.32
  6. Step 6: Final answer
    x = 18,199.72

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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.