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Finding the Fourth Proportional to 16,282.58, 22,470 and 8,830.58

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Solution

The fourth proportional to 16,282.58, 22,470 and 8,830.58 is: 12,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.58 : 22,470 = 8,830.58 : x
  2. Step 2: Convert to fraction form
    16,282.58/22,470 = 8,830.58/x
  3. Step 3: Cross multiply
    16,282.58x = 22,470 × 8,830.58
  4. Step 4: Simplify right side
    16,282.58x = 198,423,132.60
  5. Step 5: Solve for x
    x = 198,423,132.60/16,282.58
  6. Step 6: Final answer
    x = 12,186.22

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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.