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Finding the Fourth Proportional to 17,864.16, 24,646.92 and 10,309.48

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Solution

The fourth proportional to 17,864.16, 24,646.92 and 10,309.48 is: 14,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.16 : 24,646.92 = 10,309.48 : x
  2. Step 2: Convert to fraction form
    17,864.16/24,646.92 = 10,309.48/x
  3. Step 3: Cross multiply
    17,864.16x = 24,646.92 × 10,309.48
  4. Step 4: Simplify right side
    17,864.16x = 254,096,928.80
  5. Step 5: Solve for x
    x = 254,096,928.80/17,864.16
  6. Step 6: Final answer
    x = 14,223.84

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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.