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Finding the Fourth Proportional to 16,124.40, 22,256.31 and 9,751

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Solution

The fourth proportional to 16,124.40, 22,256.31 and 9,751 is: 13,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.40 : 22,256.31 = 9,751 : x
  2. Step 2: Convert to fraction form
    16,124.40/22,256.31 = 9,751/x
  3. Step 3: Cross multiply
    16,124.40x = 22,256.31 × 9,751
  4. Step 4: Simplify right side
    16,124.40x = 217,021,278.81
  5. Step 5: Solve for x
    x = 217,021,278.81/16,124.40
  6. Step 6: Final answer
    x = 13,459.18

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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.