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Finding the Fourth Proportional to 15,926.76, 23,881.95 and 7,154.15

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Solution

The fourth proportional to 15,926.76, 23,881.95 and 7,154.15 is: 10,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.76 : 23,881.95 = 7,154.15 : x
  2. Step 2: Convert to fraction form
    15,926.76/23,881.95 = 7,154.15/x
  3. Step 3: Cross multiply
    15,926.76x = 23,881.95 × 7,154.15
  4. Step 4: Simplify right side
    15,926.76x = 170,854,933.18
  5. Step 5: Solve for x
    x = 170,854,933.18/15,926.76
  6. Step 6: Final answer
    x = 10,727.54

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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.