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Finding the Fourth Proportional to 24,142.32, 33,335.28 and 15,648.48

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Solution

The fourth proportional to 24,142.32, 33,335.28 and 15,648.48 is: 21,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.32 : 33,335.28 = 15,648.48 : x
  2. Step 2: Convert to fraction form
    24,142.32/33,335.28 = 15,648.48/x
  3. Step 3: Cross multiply
    24,142.32x = 33,335.28 × 15,648.48
  4. Step 4: Simplify right side
    24,142.32x = 521,646,462.37
  5. Step 5: Solve for x
    x = 521,646,462.37/24,142.32
  6. Step 6: Final answer
    x = 21,607.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.