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Finding the Fourth Proportional to 12,345.62, 17,042.58 and 7,875.50

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Solution

The fourth proportional to 12,345.62, 17,042.58 and 7,875.50 is: 10,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.62 : 17,042.58 = 7,875.50 : x
  2. Step 2: Convert to fraction form
    12,345.62/17,042.58 = 7,875.50/x
  3. Step 3: Cross multiply
    12,345.62x = 17,042.58 × 7,875.50
  4. Step 4: Simplify right side
    12,345.62x = 134,218,838.79
  5. Step 5: Solve for x
    x = 134,218,838.79/12,345.62
  6. Step 6: Final answer
    x = 10,871.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.