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Finding the Fourth Proportional to 15,852.87, 23,762.14 and 10,310.19

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Solution

The fourth proportional to 15,852.87, 23,762.14 and 10,310.19 is: 15,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.87 : 23,762.14 = 10,310.19 : x
  2. Step 2: Convert to fraction form
    15,852.87/23,762.14 = 10,310.19/x
  3. Step 3: Cross multiply
    15,852.87x = 23,762.14 × 10,310.19
  4. Step 4: Simplify right side
    15,852.87x = 244,992,178.21
  5. Step 5: Solve for x
    x = 244,992,178.21/15,852.87
  6. Step 6: Final answer
    x = 15,454.12

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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.