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Finding the Fourth Proportional to 12,565.22, 17,340.03 and 6,900.33

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Solution

The fourth proportional to 12,565.22, 17,340.03 and 6,900.33 is: 9,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.22 : 17,340.03 = 6,900.33 : x
  2. Step 2: Convert to fraction form
    12,565.22/17,340.03 = 6,900.33/x
  3. Step 3: Cross multiply
    12,565.22x = 17,340.03 × 6,900.33
  4. Step 4: Simplify right side
    12,565.22x = 119,651,929.21
  5. Step 5: Solve for x
    x = 119,651,929.21/12,565.22
  6. Step 6: Final answer
    x = 9,522.47

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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.