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Finding the Fourth Proportional to 17,654.40, 26,500.80 and 9,878.40

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Solution

The fourth proportional to 17,654.40, 26,500.80 and 9,878.40 is: 14,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.40 : 26,500.80 = 9,878.40 : x
  2. Step 2: Convert to fraction form
    17,654.40/26,500.80 = 9,878.40/x
  3. Step 3: Cross multiply
    17,654.40x = 26,500.80 × 9,878.40
  4. Step 4: Simplify right side
    17,654.40x = 261,785,502.72
  5. Step 5: Solve for x
    x = 261,785,502.72/17,654.40
  6. Step 6: Final answer
    x = 14,828.34

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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.