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Finding the Fourth Proportional to 16,300.80, 22,497.60 and 10,017.60

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Solution

The fourth proportional to 16,300.80, 22,497.60 and 10,017.60 is: 13,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.80 : 22,497.60 = 10,017.60 : x
  2. Step 2: Convert to fraction form
    16,300.80/22,497.60 = 10,017.60/x
  3. Step 3: Cross multiply
    16,300.80x = 22,497.60 × 10,017.60
  4. Step 4: Simplify right side
    16,300.80x = 225,371,957.76
  5. Step 5: Solve for x
    x = 225,371,957.76/16,300.80
  6. Step 6: Final answer
    x = 13,825.82

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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.