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Finding the Fourth Proportional to 16,036.64, 22,129.80 and 8,963

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Solution

The fourth proportional to 16,036.64, 22,129.80 and 8,963 is: 12,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.64 : 22,129.80 = 8,963 : x
  2. Step 2: Convert to fraction form
    16,036.64/22,129.80 = 8,963/x
  3. Step 3: Cross multiply
    16,036.64x = 22,129.80 × 8,963
  4. Step 4: Simplify right side
    16,036.64x = 198,349,397.40
  5. Step 5: Solve for x
    x = 198,349,397.40/16,036.64
  6. Step 6: Final answer
    x = 12,368.51

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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.