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Finding the Fourth Proportional to 14,557.75, 20,068.52 and 10,295.53

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Solution

The fourth proportional to 14,557.75, 20,068.52 and 10,295.53 is: 14,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.75 : 20,068.52 = 10,295.53 : x
  2. Step 2: Convert to fraction form
    14,557.75/20,068.52 = 10,295.53/x
  3. Step 3: Cross multiply
    14,557.75x = 20,068.52 × 10,295.53
  4. Step 4: Simplify right side
    14,557.75x = 206,615,948.07
  5. Step 5: Solve for x
    x = 206,615,948.07/14,557.75
  6. Step 6: Final answer
    x = 14,192.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.