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Finding the Fourth Proportional to 17,076.25, 23,565.41 and 9,624.25

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Solution

The fourth proportional to 17,076.25, 23,565.41 and 9,624.25 is: 13,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.25 : 23,565.41 = 9,624.25 : x
  2. Step 2: Convert to fraction form
    17,076.25/23,565.41 = 9,624.25/x
  3. Step 3: Cross multiply
    17,076.25x = 23,565.41 × 9,624.25
  4. Step 4: Simplify right side
    17,076.25x = 226,799,397.19
  5. Step 5: Solve for x
    x = 226,799,397.19/17,076.25
  6. Step 6: Final answer
    x = 13,281.57

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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.