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Finding the Fourth Proportional to 19,701.62, 29,535.62 and 8,600

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Solution

The fourth proportional to 19,701.62, 29,535.62 and 8,600 is: 12,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.62 : 29,535.62 = 8,600 : x
  2. Step 2: Convert to fraction form
    19,701.62/29,535.62 = 8,600/x
  3. Step 3: Cross multiply
    19,701.62x = 29,535.62 × 8,600
  4. Step 4: Simplify right side
    19,701.62x = 254,006,332
  5. Step 5: Solve for x
    x = 254,006,332/19,701.62
  6. Step 6: Final answer
    x = 12,892.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.