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Finding the Fourth Proportional to 15,870.46, 21,900.38 and 9,155.68

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Solution

The fourth proportional to 15,870.46, 21,900.38 and 9,155.68 is: 12,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.46 : 21,900.38 = 9,155.68 : x
  2. Step 2: Convert to fraction form
    15,870.46/21,900.38 = 9,155.68/x
  3. Step 3: Cross multiply
    15,870.46x = 21,900.38 × 9,155.68
  4. Step 4: Simplify right side
    15,870.46x = 200,512,871.16
  5. Step 5: Solve for x
    x = 200,512,871.16/15,870.46
  6. Step 6: Final answer
    x = 12,634.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.