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Finding the Fourth Proportional to 24,085.76, 33,238.34 and 15,702.26

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Solution

The fourth proportional to 24,085.76, 33,238.34 and 15,702.26 is: 21,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.76 : 33,238.34 = 15,702.26 : x
  2. Step 2: Convert to fraction form
    24,085.76/33,238.34 = 15,702.26/x
  3. Step 3: Cross multiply
    24,085.76x = 33,238.34 × 15,702.26
  4. Step 4: Simplify right side
    24,085.76x = 521,917,056.65
  5. Step 5: Solve for x
    x = 521,917,056.65/24,085.76
  6. Step 6: Final answer
    x = 21,669.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.