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Finding the Fourth Proportional to 12,985.49, 19,462.85 and 5,959.58

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Solution

The fourth proportional to 12,985.49, 19,462.85 and 5,959.58 is: 8,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.49 : 19,462.85 = 5,959.58 : x
  2. Step 2: Convert to fraction form
    12,985.49/19,462.85 = 5,959.58/x
  3. Step 3: Cross multiply
    12,985.49x = 19,462.85 × 5,959.58
  4. Step 4: Simplify right side
    12,985.49x = 115,990,475.16
  5. Step 5: Solve for x
    x = 115,990,475.16/12,985.49
  6. Step 6: Final answer
    x = 8,932.31

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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.