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Finding the Fourth Proportional to 39,886.16, 59,827.08 and 12,182

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Solution

The fourth proportional to 39,886.16, 59,827.08 and 12,182 is: 18,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,886.16 : 59,827.08 = 12,182 : x
  2. Step 2: Convert to fraction form
    39,886.16/59,827.08 = 12,182/x
  3. Step 3: Cross multiply
    39,886.16x = 59,827.08 × 12,182
  4. Step 4: Simplify right side
    39,886.16x = 728,813,488.56
  5. Step 5: Solve for x
    x = 728,813,488.56/39,886.16
  6. Step 6: Final answer
    x = 18,272.34

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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.