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Finding the Fourth Proportional to 15,966.56, 23,971.04 and 13,641.50

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Solution

The fourth proportional to 15,966.56, 23,971.04 and 13,641.50 is: 20,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.56 : 23,971.04 = 13,641.50 : x
  2. Step 2: Convert to fraction form
    15,966.56/23,971.04 = 13,641.50/x
  3. Step 3: Cross multiply
    15,966.56x = 23,971.04 × 13,641.50
  4. Step 4: Simplify right side
    15,966.56x = 327,000,985.04
  5. Step 5: Solve for x
    x = 327,000,985.04/15,966.56
  6. Step 6: Final answer
    x = 20,480.36

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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.