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Finding the Fourth Proportional to 12,582.88, 17,359.86 and 8,812.06

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Solution

The fourth proportional to 12,582.88, 17,359.86 and 8,812.06 is: 12,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.88 : 17,359.86 = 8,812.06 : x
  2. Step 2: Convert to fraction form
    12,582.88/17,359.86 = 8,812.06/x
  3. Step 3: Cross multiply
    12,582.88x = 17,359.86 × 8,812.06
  4. Step 4: Simplify right side
    12,582.88x = 152,976,127.91
  5. Step 5: Solve for x
    x = 152,976,127.91/12,582.88
  6. Step 6: Final answer
    x = 12,157.48

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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.