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Finding the Fourth Proportional to 16,549.70, 22,838.61 and 9,097.70

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Solution

The fourth proportional to 16,549.70, 22,838.61 and 9,097.70 is: 12,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.70 : 22,838.61 = 9,097.70 : x
  2. Step 2: Convert to fraction form
    16,549.70/22,838.61 = 9,097.70/x
  3. Step 3: Cross multiply
    16,549.70x = 22,838.61 × 9,097.70
  4. Step 4: Simplify right side
    16,549.70x = 207,778,708.00
  5. Step 5: Solve for x
    x = 207,778,708.00/16,549.70
  6. Step 6: Final answer
    x = 12,554.84

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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.