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Finding the Fourth Proportional to 16,179.48, 22,328.10 and 9,106.16

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Solution

The fourth proportional to 16,179.48, 22,328.10 and 9,106.16 is: 12,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.48 : 22,328.10 = 9,106.16 : x
  2. Step 2: Convert to fraction form
    16,179.48/22,328.10 = 9,106.16/x
  3. Step 3: Cross multiply
    16,179.48x = 22,328.10 × 9,106.16
  4. Step 4: Simplify right side
    16,179.48x = 203,323,139.46
  5. Step 5: Solve for x
    x = 203,323,139.46/16,179.48
  6. Step 6: Final answer
    x = 12,566.73

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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.