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Finding the Fourth Proportional to 12,465.36, 18,700.92 and 4,144.76

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Solution

The fourth proportional to 12,465.36, 18,700.92 and 4,144.76 is: 6,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.36 : 18,700.92 = 4,144.76 : x
  2. Step 2: Convert to fraction form
    12,465.36/18,700.92 = 4,144.76/x
  3. Step 3: Cross multiply
    12,465.36x = 18,700.92 × 4,144.76
  4. Step 4: Simplify right side
    12,465.36x = 77,510,825.18
  5. Step 5: Solve for x
    x = 77,510,825.18/12,465.36
  6. Step 6: Final answer
    x = 6,218.10

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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.