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Finding the Fourth Proportional to 17,652.16, 24,358.56 and 10,200.64

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Solution

The fourth proportional to 17,652.16, 24,358.56 and 10,200.64 is: 14,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.16 : 24,358.56 = 10,200.64 : x
  2. Step 2: Convert to fraction form
    17,652.16/24,358.56 = 10,200.64/x
  3. Step 3: Cross multiply
    17,652.16x = 24,358.56 × 10,200.64
  4. Step 4: Simplify right side
    17,652.16x = 248,472,901.48
  5. Step 5: Solve for x
    x = 248,472,901.48/17,652.16
  6. Step 6: Final answer
    x = 14,076.06

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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.