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Finding the Fourth Proportional to 12,989.66, 19,458.86 and 6,753.74

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Solution

The fourth proportional to 12,989.66, 19,458.86 and 6,753.74 is: 10,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.66 : 19,458.86 = 6,753.74 : x
  2. Step 2: Convert to fraction form
    12,989.66/19,458.86 = 6,753.74/x
  3. Step 3: Cross multiply
    12,989.66x = 19,458.86 × 6,753.74
  4. Step 4: Simplify right side
    12,989.66x = 131,420,047.37
  5. Step 5: Solve for x
    x = 131,420,047.37/12,989.66
  6. Step 6: Final answer
    x = 10,117.28

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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.