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Finding the Fourth Proportional to 16,253.07, 22,429.08 and 9,179.34

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Solution

The fourth proportional to 16,253.07, 22,429.08 and 9,179.34 is: 12,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.07 : 22,429.08 = 9,179.34 : x
  2. Step 2: Convert to fraction form
    16,253.07/22,429.08 = 9,179.34/x
  3. Step 3: Cross multiply
    16,253.07x = 22,429.08 × 9,179.34
  4. Step 4: Simplify right side
    16,253.07x = 205,884,151.21
  5. Step 5: Solve for x
    x = 205,884,151.21/16,253.07
  6. Step 6: Final answer
    x = 12,667.40

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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.