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Finding the Fourth Proportional to 19,876.40, 29,813.80 and 9,342.64

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Solution

The fourth proportional to 19,876.40, 29,813.80 and 9,342.64 is: 14,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.40 : 29,813.80 = 9,342.64 : x
  2. Step 2: Convert to fraction form
    19,876.40/29,813.80 = 9,342.64/x
  3. Step 3: Cross multiply
    19,876.40x = 29,813.80 × 9,342.64
  4. Step 4: Simplify right side
    19,876.40x = 278,539,600.43
  5. Step 5: Solve for x
    x = 278,539,600.43/19,876.40
  6. Step 6: Final answer
    x = 14,013.58

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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.