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Finding the Fourth Proportional to 23,882.61, 32,959.98 and 15,402.39

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Solution

The fourth proportional to 23,882.61, 32,959.98 and 15,402.39 is: 21,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.61 : 32,959.98 = 15,402.39 : x
  2. Step 2: Convert to fraction form
    23,882.61/32,959.98 = 15,402.39/x
  3. Step 3: Cross multiply
    23,882.61x = 32,959.98 × 15,402.39
  4. Step 4: Simplify right side
    23,882.61x = 507,662,466.35
  5. Step 5: Solve for x
    x = 507,662,466.35/23,882.61
  6. Step 6: Final answer
    x = 21,256.57

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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.