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Finding the Fourth Proportional to 22,303.76, 30,778.38 and 12,870.50

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Solution

The fourth proportional to 22,303.76, 30,778.38 and 12,870.50 is: 17,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.76 : 30,778.38 = 12,870.50 : x
  2. Step 2: Convert to fraction form
    22,303.76/30,778.38 = 12,870.50/x
  3. Step 3: Cross multiply
    22,303.76x = 30,778.38 × 12,870.50
  4. Step 4: Simplify right side
    22,303.76x = 396,132,985.90
  5. Step 5: Solve for x
    x = 396,132,985.90/22,303.76
  6. Step 6: Final answer
    x = 17,760.82

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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.