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Finding the Fourth Proportional to 14,348.76, 19,801.80 and 8,061

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Solution

The fourth proportional to 14,348.76, 19,801.80 and 8,061 is: 11,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.76 : 19,801.80 = 8,061 : x
  2. Step 2: Convert to fraction form
    14,348.76/19,801.80 = 8,061/x
  3. Step 3: Cross multiply
    14,348.76x = 19,801.80 × 8,061
  4. Step 4: Simplify right side
    14,348.76x = 159,622,309.80
  5. Step 5: Solve for x
    x = 159,622,309.80/14,348.76
  6. Step 6: Final answer
    x = 11,124.47

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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.