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Finding the Fourth Proportional to 15,258.26, 22,867 and 6,482.18

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Solution

The fourth proportional to 15,258.26, 22,867 and 6,482.18 is: 9,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.26 : 22,867 = 6,482.18 : x
  2. Step 2: Convert to fraction form
    15,258.26/22,867 = 6,482.18/x
  3. Step 3: Cross multiply
    15,258.26x = 22,867 × 6,482.18
  4. Step 4: Simplify right side
    15,258.26x = 148,228,010.06
  5. Step 5: Solve for x
    x = 148,228,010.06/15,258.26
  6. Step 6: Final answer
    x = 9,714.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.