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Finding the Fourth Proportional to 13,864.32, 20,686.64 and 13,024

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Solution

The fourth proportional to 13,864.32, 20,686.64 and 13,024 is: 19,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.32 : 20,686.64 = 13,024 : x
  2. Step 2: Convert to fraction form
    13,864.32/20,686.64 = 13,024/x
  3. Step 3: Cross multiply
    13,864.32x = 20,686.64 × 13,024
  4. Step 4: Simplify right side
    13,864.32x = 269,422,799.36
  5. Step 5: Solve for x
    x = 269,422,799.36/13,864.32
  6. Step 6: Final answer
    x = 19,432.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.