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Finding the Fourth Proportional to 15,871.68, 23,804.64 and 8,475.84

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Solution

The fourth proportional to 15,871.68, 23,804.64 and 8,475.84 is: 12,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.68 : 23,804.64 = 8,475.84 : x
  2. Step 2: Convert to fraction form
    15,871.68/23,804.64 = 8,475.84/x
  3. Step 3: Cross multiply
    15,871.68x = 23,804.64 × 8,475.84
  4. Step 4: Simplify right side
    15,871.68x = 201,764,319.90
  5. Step 5: Solve for x
    x = 201,764,319.90/15,871.68
  6. Step 6: Final answer
    x = 12,712.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.