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Finding the Fourth Proportional to 19,535.50, 29,304.70 and 7,848.75

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Solution

The fourth proportional to 19,535.50, 29,304.70 and 7,848.75 is: 11,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.50 : 29,304.70 = 7,848.75 : x
  2. Step 2: Convert to fraction form
    19,535.50/29,304.70 = 7,848.75/x
  3. Step 3: Cross multiply
    19,535.50x = 29,304.70 × 7,848.75
  4. Step 4: Simplify right side
    19,535.50x = 230,005,264.13
  5. Step 5: Solve for x
    x = 230,005,264.13/19,535.50
  6. Step 6: Final answer
    x = 11,773.71

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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.