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Finding the Fourth Proportional to 22,275, 33,386.58 and 9,111.42

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Solution

The fourth proportional to 22,275, 33,386.58 and 9,111.42 is: 13,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275 : 33,386.58 = 9,111.42 : x
  2. Step 2: Convert to fraction form
    22,275/33,386.58 = 9,111.42/x
  3. Step 3: Cross multiply
    22,275x = 33,386.58 × 9,111.42
  4. Step 4: Simplify right side
    22,275x = 304,199,152.74
  5. Step 5: Solve for x
    x = 304,199,152.74/22,275
  6. Step 6: Final answer
    x = 13,656.53

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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.