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Finding the Fourth Proportional to 15,952.96, 23,931.06 and 6,100.53

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Solution

The fourth proportional to 15,952.96, 23,931.06 and 6,100.53 is: 9,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.96 : 23,931.06 = 6,100.53 : x
  2. Step 2: Convert to fraction form
    15,952.96/23,931.06 = 6,100.53/x
  3. Step 3: Cross multiply
    15,952.96x = 23,931.06 × 6,100.53
  4. Step 4: Simplify right side
    15,952.96x = 145,992,149.46
  5. Step 5: Solve for x
    x = 145,992,149.46/15,952.96
  6. Step 6: Final answer
    x = 9,151.41

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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.