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Finding the Fourth Proportional to 16,451.16, 22,702.56 and 8,897.48

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Solution

The fourth proportional to 16,451.16, 22,702.56 and 8,897.48 is: 12,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.16 : 22,702.56 = 8,897.48 : x
  2. Step 2: Convert to fraction form
    16,451.16/22,702.56 = 8,897.48/x
  3. Step 3: Cross multiply
    16,451.16x = 22,702.56 × 8,897.48
  4. Step 4: Simplify right side
    16,451.16x = 201,995,460.04
  5. Step 5: Solve for x
    x = 201,995,460.04/16,451.16
  6. Step 6: Final answer
    x = 12,278.49

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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.