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Finding the Fourth Proportional to 15,077.40, 20,813.95 and 10,050

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Solution

The fourth proportional to 15,077.40, 20,813.95 and 10,050 is: 13,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.40 : 20,813.95 = 10,050 : x
  2. Step 2: Convert to fraction form
    15,077.40/20,813.95 = 10,050/x
  3. Step 3: Cross multiply
    15,077.40x = 20,813.95 × 10,050
  4. Step 4: Simplify right side
    15,077.40x = 209,180,197.50
  5. Step 5: Solve for x
    x = 209,180,197.50/15,077.40
  6. Step 6: Final answer
    x = 13,873.76

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