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Finding the Fourth Proportional to 15,654.93, 23,498.79 and 8,257.40

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Solution

The fourth proportional to 15,654.93, 23,498.79 and 8,257.40 is: 12,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654.93 : 23,498.79 = 8,257.40 : x
  2. Step 2: Convert to fraction form
    15,654.93/23,498.79 = 8,257.40/x
  3. Step 3: Cross multiply
    15,654.93x = 23,498.79 × 8,257.40
  4. Step 4: Simplify right side
    15,654.93x = 194,038,908.55
  5. Step 5: Solve for x
    x = 194,038,908.55/15,654.93
  6. Step 6: Final answer
    x = 12,394.75

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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.