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Finding the Fourth Proportional to 23,009.25, 34,513.81 and 7,215.51

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Solution

The fourth proportional to 23,009.25, 34,513.81 and 7,215.51 is: 10,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.25 : 34,513.81 = 7,215.51 : x
  2. Step 2: Convert to fraction form
    23,009.25/34,513.81 = 7,215.51/x
  3. Step 3: Cross multiply
    23,009.25x = 34,513.81 × 7,215.51
  4. Step 4: Simplify right side
    23,009.25x = 249,034,723.15
  5. Step 5: Solve for x
    x = 249,034,723.15/23,009.25
  6. Step 6: Final answer
    x = 10,823.24

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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.