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Finding the Fourth Proportional to 16,660.22, 22,989.51 and 9,106.07

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Solution

The fourth proportional to 16,660.22, 22,989.51 and 9,106.07 is: 12,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,660.22 : 22,989.51 = 9,106.07 : x
  2. Step 2: Convert to fraction form
    16,660.22/22,989.51 = 9,106.07/x
  3. Step 3: Cross multiply
    16,660.22x = 22,989.51 × 9,106.07
  4. Step 4: Simplify right side
    16,660.22x = 209,343,972.38
  5. Step 5: Solve for x
    x = 209,343,972.38/16,660.22
  6. Step 6: Final answer
    x = 12,565.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.