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Finding the Fourth Proportional to 14,242.68, 21,352.32 and 9,250.20

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Solution

The fourth proportional to 14,242.68, 21,352.32 and 9,250.20 is: 13,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.68 : 21,352.32 = 9,250.20 : x
  2. Step 2: Convert to fraction form
    14,242.68/21,352.32 = 9,250.20/x
  3. Step 3: Cross multiply
    14,242.68x = 21,352.32 × 9,250.20
  4. Step 4: Simplify right side
    14,242.68x = 197,513,230.46
  5. Step 5: Solve for x
    x = 197,513,230.46/14,242.68
  6. Step 6: Final answer
    x = 13,867.70

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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.