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Finding the Fourth Proportional to 12,460.86, 18,686.43 and 5,443.02

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Solution

The fourth proportional to 12,460.86, 18,686.43 and 5,443.02 is: 8,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.86 : 18,686.43 = 5,443.02 : x
  2. Step 2: Convert to fraction form
    12,460.86/18,686.43 = 5,443.02/x
  3. Step 3: Cross multiply
    12,460.86x = 18,686.43 × 5,443.02
  4. Step 4: Simplify right side
    12,460.86x = 101,710,612.22
  5. Step 5: Solve for x
    x = 101,710,612.22/12,460.86
  6. Step 6: Final answer
    x = 8,162.41

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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.