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Finding the Fourth Proportional to 16,071.52, 22,178.88 and 8,998

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Solution

The fourth proportional to 16,071.52, 22,178.88 and 8,998 is: 12,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.52 : 22,178.88 = 8,998 : x
  2. Step 2: Convert to fraction form
    16,071.52/22,178.88 = 8,998/x
  3. Step 3: Cross multiply
    16,071.52x = 22,178.88 × 8,998
  4. Step 4: Simplify right side
    16,071.52x = 199,565,562.24
  5. Step 5: Solve for x
    x = 199,565,562.24/16,071.52
  6. Step 6: Final answer
    x = 12,417.34

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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.