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Finding the Fourth Proportional to 23,258.90, 32,096.35 and 12,648.53

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Solution

The fourth proportional to 23,258.90, 32,096.35 and 12,648.53 is: 17,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.90 : 32,096.35 = 12,648.53 : x
  2. Step 2: Convert to fraction form
    23,258.90/32,096.35 = 12,648.53/x
  3. Step 3: Cross multiply
    23,258.90x = 32,096.35 × 12,648.53
  4. Step 4: Simplify right side
    23,258.90x = 405,971,651.65
  5. Step 5: Solve for x
    x = 405,971,651.65/23,258.90
  6. Step 6: Final answer
    x = 17,454.47

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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.