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Finding the Fourth Proportional to 17,870.40, 24,662.67 and 9,915.20

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Solution

The fourth proportional to 17,870.40, 24,662.67 and 9,915.20 is: 13,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.40 : 24,662.67 = 9,915.20 : x
  2. Step 2: Convert to fraction form
    17,870.40/24,662.67 = 9,915.20/x
  3. Step 3: Cross multiply
    17,870.40x = 24,662.67 × 9,915.20
  4. Step 4: Simplify right side
    17,870.40x = 244,535,182.27
  5. Step 5: Solve for x
    x = 244,535,182.27/17,870.40
  6. Step 6: Final answer
    x = 13,683.81

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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.