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Finding the Fourth Proportional to 19,534.78, 29,317.88 and 10,177.59

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Solution

The fourth proportional to 19,534.78, 29,317.88 and 10,177.59 is: 15,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.78 : 29,317.88 = 10,177.59 : x
  2. Step 2: Convert to fraction form
    19,534.78/29,317.88 = 10,177.59/x
  3. Step 3: Cross multiply
    19,534.78x = 29,317.88 × 10,177.59
  4. Step 4: Simplify right side
    19,534.78x = 298,385,497.70
  5. Step 5: Solve for x
    x = 298,385,497.70/19,534.78
  6. Step 6: Final answer
    x = 15,274.58

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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.