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Finding the Fourth Proportional to 12,565.50, 17,339.81 and 7,532.51

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Solution

The fourth proportional to 12,565.50, 17,339.81 and 7,532.51 is: 10,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.50 : 17,339.81 = 7,532.51 : x
  2. Step 2: Convert to fraction form
    12,565.50/17,339.81 = 7,532.51/x
  3. Step 3: Cross multiply
    12,565.50x = 17,339.81 × 7,532.51
  4. Step 4: Simplify right side
    12,565.50x = 130,612,167.86
  5. Step 5: Solve for x
    x = 130,612,167.86/12,565.50
  6. Step 6: Final answer
    x = 10,394.51

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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.