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Finding the Fourth Proportional to 13,084.74, 18,050.59 and 7,775.80

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Solution

The fourth proportional to 13,084.74, 18,050.59 and 7,775.80 is: 10,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.74 : 18,050.59 = 7,775.80 : x
  2. Step 2: Convert to fraction form
    13,084.74/18,050.59 = 7,775.80/x
  3. Step 3: Cross multiply
    13,084.74x = 18,050.59 × 7,775.80
  4. Step 4: Simplify right side
    13,084.74x = 140,357,713.16
  5. Step 5: Solve for x
    x = 140,357,713.16/13,084.74
  6. Step 6: Final answer
    x = 10,726.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.