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Finding the Fourth Proportional to 22,340.34, 33,507.36 and 7,547.22

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Solution

The fourth proportional to 22,340.34, 33,507.36 and 7,547.22 is: 11,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.34 : 33,507.36 = 7,547.22 : x
  2. Step 2: Convert to fraction form
    22,340.34/33,507.36 = 7,547.22/x
  3. Step 3: Cross multiply
    22,340.34x = 33,507.36 × 7,547.22
  4. Step 4: Simplify right side
    22,340.34x = 252,887,417.54
  5. Step 5: Solve for x
    x = 252,887,417.54/22,340.34
  6. Step 6: Final answer
    x = 11,319.77

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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.