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Finding the Fourth Proportional to 12,345.87, 18,513.66 and 7,658.85

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Solution

The fourth proportional to 12,345.87, 18,513.66 and 7,658.85 is: 11,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.87 : 18,513.66 = 7,658.85 : x
  2. Step 2: Convert to fraction form
    12,345.87/18,513.66 = 7,658.85/x
  3. Step 3: Cross multiply
    12,345.87x = 18,513.66 × 7,658.85
  4. Step 4: Simplify right side
    12,345.87x = 141,793,344.89
  5. Step 5: Solve for x
    x = 141,793,344.89/12,345.87
  6. Step 6: Final answer
    x = 11,485.08

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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.