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Finding the Fourth Proportional to 16,373.74, 22,594.11 and 9,298.78

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Solution

The fourth proportional to 16,373.74, 22,594.11 and 9,298.78 is: 12,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,373.74 : 22,594.11 = 9,298.78 : x
  2. Step 2: Convert to fraction form
    16,373.74/22,594.11 = 9,298.78/x
  3. Step 3: Cross multiply
    16,373.74x = 22,594.11 × 9,298.78
  4. Step 4: Simplify right side
    16,373.74x = 210,097,658.19
  5. Step 5: Solve for x
    x = 210,097,658.19/16,373.74
  6. Step 6: Final answer
    x = 12,831.38

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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.