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Finding the Fourth Proportional to 13,052.01, 19,568.70 and 7,774.59

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Solution

The fourth proportional to 13,052.01, 19,568.70 and 7,774.59 is: 11,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.01 : 19,568.70 = 7,774.59 : x
  2. Step 2: Convert to fraction form
    13,052.01/19,568.70 = 7,774.59/x
  3. Step 3: Cross multiply
    13,052.01x = 19,568.70 × 7,774.59
  4. Step 4: Simplify right side
    13,052.01x = 152,138,619.33
  5. Step 5: Solve for x
    x = 152,138,619.33/13,052.01
  6. Step 6: Final answer
    x = 11,656.34

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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.