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Finding the Fourth Proportional to 19,966.98, 29,954.60 and 8,120.76

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Solution

The fourth proportional to 19,966.98, 29,954.60 and 8,120.76 is: 12,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966.98 : 29,954.60 = 8,120.76 : x
  2. Step 2: Convert to fraction form
    19,966.98/29,954.60 = 8,120.76/x
  3. Step 3: Cross multiply
    19,966.98x = 29,954.60 × 8,120.76
  4. Step 4: Simplify right side
    19,966.98x = 243,254,117.50
  5. Step 5: Solve for x
    x = 243,254,117.50/19,966.98
  6. Step 6: Final answer
    x = 12,182.82

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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.