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Finding the Fourth Proportional to 15,884.80, 23,846.40 and 8,870.40

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Solution

The fourth proportional to 15,884.80, 23,846.40 and 8,870.40 is: 13,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.80 : 23,846.40 = 8,870.40 : x
  2. Step 2: Convert to fraction form
    15,884.80/23,846.40 = 8,870.40/x
  3. Step 3: Cross multiply
    15,884.80x = 23,846.40 × 8,870.40
  4. Step 4: Simplify right side
    15,884.80x = 211,527,106.56
  5. Step 5: Solve for x
    x = 211,527,106.56/15,884.80
  6. Step 6: Final answer
    x = 13,316.32

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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.