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Finding the Fourth Proportional to 20,130.66, 30,197.61 and 8,437.50

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Solution

The fourth proportional to 20,130.66, 30,197.61 and 8,437.50 is: 12,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.66 : 30,197.61 = 8,437.50 : x
  2. Step 2: Convert to fraction form
    20,130.66/30,197.61 = 8,437.50/x
  3. Step 3: Cross multiply
    20,130.66x = 30,197.61 × 8,437.50
  4. Step 4: Simplify right side
    20,130.66x = 254,792,334.38
  5. Step 5: Solve for x
    x = 254,792,334.38/20,130.66
  6. Step 6: Final answer
    x = 12,656.93

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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.