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Finding the Fourth Proportional to 16,253.46, 22,429.98 and 9,180

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Solution

The fourth proportional to 16,253.46, 22,429.98 and 9,180 is: 12,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.46 : 22,429.98 = 9,180 : x
  2. Step 2: Convert to fraction form
    16,253.46/22,429.98 = 9,180/x
  3. Step 3: Cross multiply
    16,253.46x = 22,429.98 × 9,180
  4. Step 4: Simplify right side
    16,253.46x = 205,907,216.40
  5. Step 5: Solve for x
    x = 205,907,216.40/16,253.46
  6. Step 6: Final answer
    x = 12,668.52

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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.