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Finding the Fourth Proportional to 23,978.61, 35,935.02 and 15,219.68

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Solution

The fourth proportional to 23,978.61, 35,935.02 and 15,219.68 is: 22,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.61 : 35,935.02 = 15,219.68 : x
  2. Step 2: Convert to fraction form
    23,978.61/35,935.02 = 15,219.68/x
  3. Step 3: Cross multiply
    23,978.61x = 35,935.02 × 15,219.68
  4. Step 4: Simplify right side
    23,978.61x = 546,919,325.52
  5. Step 5: Solve for x
    x = 546,919,325.52/23,978.61
  6. Step 6: Final answer
    x = 22,808.63

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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.