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Finding the Fourth Proportional to 23,005.51, 34,514.55 and 8,215.93

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Solution

The fourth proportional to 23,005.51, 34,514.55 and 8,215.93 is: 12,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.51 : 34,514.55 = 8,215.93 : x
  2. Step 2: Convert to fraction form
    23,005.51/34,514.55 = 8,215.93/x
  3. Step 3: Cross multiply
    23,005.51x = 34,514.55 × 8,215.93
  4. Step 4: Simplify right side
    23,005.51x = 283,569,126.78
  5. Step 5: Solve for x
    x = 283,569,126.78/23,005.51
  6. Step 6: Final answer
    x = 12,326.14

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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.