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Finding the Fourth Proportional to 15,062, 20,784.07 and 8,689.17

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Solution

The fourth proportional to 15,062, 20,784.07 and 8,689.17 is: 11,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,062 : 20,784.07 = 8,689.17 : x
  2. Step 2: Convert to fraction form
    15,062/20,784.07 = 8,689.17/x
  3. Step 3: Cross multiply
    15,062x = 20,784.07 × 8,689.17
  4. Step 4: Simplify right side
    15,062x = 180,596,317.52
  5. Step 5: Solve for x
    x = 180,596,317.52/15,062
  6. Step 6: Final answer
    x = 11,990.20

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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.