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Finding the Fourth Proportional to 12,637.32, 18,938.16 and 5,966.70

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Solution

The fourth proportional to 12,637.32, 18,938.16 and 5,966.70 is: 8,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.32 : 18,938.16 = 5,966.70 : x
  2. Step 2: Convert to fraction form
    12,637.32/18,938.16 = 5,966.70/x
  3. Step 3: Cross multiply
    12,637.32x = 18,938.16 × 5,966.70
  4. Step 4: Simplify right side
    12,637.32x = 112,998,319.27
  5. Step 5: Solve for x
    x = 112,998,319.27/12,637.32
  6. Step 6: Final answer
    x = 8,941.64

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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.