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Finding the Fourth Proportional to 13,663.72, 20,496.30 and 4,429

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Solution

The fourth proportional to 13,663.72, 20,496.30 and 4,429 is: 6,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.72 : 20,496.30 = 4,429 : x
  2. Step 2: Convert to fraction form
    13,663.72/20,496.30 = 4,429/x
  3. Step 3: Cross multiply
    13,663.72x = 20,496.30 × 4,429
  4. Step 4: Simplify right side
    13,663.72x = 90,778,112.70
  5. Step 5: Solve for x
    x = 90,778,112.70/13,663.72
  6. Step 6: Final answer
    x = 6,643.73

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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.