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Finding the Fourth Proportional to 18,527.64, 25,565.73 and 10,569.39

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Solution

The fourth proportional to 18,527.64, 25,565.73 and 10,569.39 is: 14,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.64 : 25,565.73 = 10,569.39 : x
  2. Step 2: Convert to fraction form
    18,527.64/25,565.73 = 10,569.39/x
  3. Step 3: Cross multiply
    18,527.64x = 25,565.73 × 10,569.39
  4. Step 4: Simplify right side
    18,527.64x = 270,214,171.00
  5. Step 5: Solve for x
    x = 270,214,171.00/18,527.64
  6. Step 6: Final answer
    x = 14,584.38

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Why These Related Problems?

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