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Finding the Fourth Proportional to 22,570.13, 33,858.17 and 7,775.08

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Solution

The fourth proportional to 22,570.13, 33,858.17 and 7,775.08 is: 11,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.13 : 33,858.17 = 7,775.08 : x
  2. Step 2: Convert to fraction form
    22,570.13/33,858.17 = 7,775.08/x
  3. Step 3: Cross multiply
    22,570.13x = 33,858.17 × 7,775.08
  4. Step 4: Simplify right side
    22,570.13x = 263,249,856.88
  5. Step 5: Solve for x
    x = 263,249,856.88/22,570.13
  6. Step 6: Final answer
    x = 11,663.64

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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.