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Finding the Fourth Proportional to 19,695.16, 27,177.78 and 10,742.14

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Solution

The fourth proportional to 19,695.16, 27,177.78 and 10,742.14 is: 14,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.16 : 27,177.78 = 10,742.14 : x
  2. Step 2: Convert to fraction form
    19,695.16/27,177.78 = 10,742.14/x
  3. Step 3: Cross multiply
    19,695.16x = 27,177.78 × 10,742.14
  4. Step 4: Simplify right side
    19,695.16x = 291,947,517.65
  5. Step 5: Solve for x
    x = 291,947,517.65/19,695.16
  6. Step 6: Final answer
    x = 14,823.31

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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.