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Finding the Fourth Proportional to 20,868.72, 31,303.13 and 6,078

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Solution

The fourth proportional to 20,868.72, 31,303.13 and 6,078 is: 9,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868.72 : 31,303.13 = 6,078 : x
  2. Step 2: Convert to fraction form
    20,868.72/31,303.13 = 6,078/x
  3. Step 3: Cross multiply
    20,868.72x = 31,303.13 × 6,078
  4. Step 4: Simplify right side
    20,868.72x = 190,260,424.14
  5. Step 5: Solve for x
    x = 190,260,424.14/20,868.72
  6. Step 6: Final answer
    x = 9,117.01

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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.