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Finding the Fourth Proportional to 21,253.59, 31,877.96 and 5,670

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Solution

The fourth proportional to 21,253.59, 31,877.96 and 5,670 is: 8,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.59 : 31,877.96 = 5,670 : x
  2. Step 2: Convert to fraction form
    21,253.59/31,877.96 = 5,670/x
  3. Step 3: Cross multiply
    21,253.59x = 31,877.96 × 5,670
  4. Step 4: Simplify right side
    21,253.59x = 180,748,004.85
  5. Step 5: Solve for x
    x = 180,748,004.85/21,253.59
  6. Step 6: Final answer
    x = 8,504.35

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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.