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Finding the Fourth Proportional to 15,870.40, 23,782.80 and 8,930.24

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Solution

The fourth proportional to 15,870.40, 23,782.80 and 8,930.24 is: 13,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.40 : 23,782.80 = 8,930.24 : x
  2. Step 2: Convert to fraction form
    15,870.40/23,782.80 = 8,930.24/x
  3. Step 3: Cross multiply
    15,870.40x = 23,782.80 × 8,930.24
  4. Step 4: Simplify right side
    15,870.40x = 212,386,111.87
  5. Step 5: Solve for x
    x = 212,386,111.87/15,870.40
  6. Step 6: Final answer
    x = 13,382.53

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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.