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Finding the Fourth Proportional to 16,134.40, 22,355.16 and 15,784.48

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Solution

The fourth proportional to 16,134.40, 22,355.16 and 15,784.48 is: 21,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.40 : 22,355.16 = 15,784.48 : x
  2. Step 2: Convert to fraction form
    16,134.40/22,355.16 = 15,784.48/x
  3. Step 3: Cross multiply
    16,134.40x = 22,355.16 × 15,784.48
  4. Step 4: Simplify right side
    16,134.40x = 352,864,575.92
  5. Step 5: Solve for x
    x = 352,864,575.92/16,134.40
  6. Step 6: Final answer
    x = 21,870.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.