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Finding the Fourth Proportional to 13,802.48, 20,695.74 and 9,425.24

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Solution

The fourth proportional to 13,802.48, 20,695.74 and 9,425.24 is: 14,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.48 : 20,695.74 = 9,425.24 : x
  2. Step 2: Convert to fraction form
    13,802.48/20,695.74 = 9,425.24/x
  3. Step 3: Cross multiply
    13,802.48x = 20,695.74 × 9,425.24
  4. Step 4: Simplify right side
    13,802.48x = 195,062,316.48
  5. Step 5: Solve for x
    x = 195,062,316.48/13,802.48
  6. Step 6: Final answer
    x = 14,132.41

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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.