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Finding the Fourth Proportional to 15,756.71, 23,631.76 and 6,986.03

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Solution

The fourth proportional to 15,756.71, 23,631.76 and 6,986.03 is: 10,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.71 : 23,631.76 = 6,986.03 : x
  2. Step 2: Convert to fraction form
    15,756.71/23,631.76 = 6,986.03/x
  3. Step 3: Cross multiply
    15,756.71x = 23,631.76 × 6,986.03
  4. Step 4: Simplify right side
    15,756.71x = 165,092,149.38
  5. Step 5: Solve for x
    x = 165,092,149.38/15,756.71
  6. Step 6: Final answer
    x = 10,477.58

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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.