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Finding the Fourth Proportional to 14,402.13, 21,578.62 and 10,221.45

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Solution

The fourth proportional to 14,402.13, 21,578.62 and 10,221.45 is: 15,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.13 : 21,578.62 = 10,221.45 : x
  2. Step 2: Convert to fraction form
    14,402.13/21,578.62 = 10,221.45/x
  3. Step 3: Cross multiply
    14,402.13x = 21,578.62 × 10,221.45
  4. Step 4: Simplify right side
    14,402.13x = 220,564,785.40
  5. Step 5: Solve for x
    x = 220,564,785.40/14,402.13
  6. Step 6: Final answer
    x = 15,314.73

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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.