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Finding the Fourth Proportional to 16,462.40, 22,712.46 and 9,291.46

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Solution

The fourth proportional to 16,462.40, 22,712.46 and 9,291.46 is: 12,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.40 : 22,712.46 = 9,291.46 : x
  2. Step 2: Convert to fraction form
    16,462.40/22,712.46 = 9,291.46/x
  3. Step 3: Cross multiply
    16,462.40x = 22,712.46 × 9,291.46
  4. Step 4: Simplify right side
    16,462.40x = 211,031,913.59
  5. Step 5: Solve for x
    x = 211,031,913.59/16,462.40
  6. Step 6: Final answer
    x = 12,819.02

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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.