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Finding the Fourth Proportional to 20,201.95, 30,307.71 and 10,182.07

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Solution

The fourth proportional to 20,201.95, 30,307.71 and 10,182.07 is: 15,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.95 : 30,307.71 = 10,182.07 : x
  2. Step 2: Convert to fraction form
    20,201.95/30,307.71 = 10,182.07/x
  3. Step 3: Cross multiply
    20,201.95x = 30,307.71 × 10,182.07
  4. Step 4: Simplify right side
    20,201.95x = 308,595,224.76
  5. Step 5: Solve for x
    x = 308,595,224.76/20,201.95
  6. Step 6: Final answer
    x = 15,275.52

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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.