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Finding the Fourth Proportional to 15,864.57, 21,884.04 and 13,980.78

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Solution

The fourth proportional to 15,864.57, 21,884.04 and 13,980.78 is: 19,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.57 : 21,884.04 = 13,980.78 : x
  2. Step 2: Convert to fraction form
    15,864.57/21,884.04 = 13,980.78/x
  3. Step 3: Cross multiply
    15,864.57x = 21,884.04 × 13,980.78
  4. Step 4: Simplify right side
    15,864.57x = 305,955,948.75
  5. Step 5: Solve for x
    x = 305,955,948.75/15,864.57
  6. Step 6: Final answer
    x = 19,285.49

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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.