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Finding the Fourth Proportional to 12,641.90, 17,435.31 and 9,492.62

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Solution

The fourth proportional to 12,641.90, 17,435.31 and 9,492.62 is: 13,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.90 : 17,435.31 = 9,492.62 : x
  2. Step 2: Convert to fraction form
    12,641.90/17,435.31 = 9,492.62/x
  3. Step 3: Cross multiply
    12,641.90x = 17,435.31 × 9,492.62
  4. Step 4: Simplify right side
    12,641.90x = 165,506,772.41
  5. Step 5: Solve for x
    x = 165,506,772.41/12,641.90
  6. Step 6: Final answer
    x = 13,091.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.