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Finding the Fourth Proportional to 23,702.99, 32,705.84 and 15,314.63

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Solution

The fourth proportional to 23,702.99, 32,705.84 and 15,314.63 is: 21,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.99 : 32,705.84 = 15,314.63 : x
  2. Step 2: Convert to fraction form
    23,702.99/32,705.84 = 15,314.63/x
  3. Step 3: Cross multiply
    23,702.99x = 32,705.84 × 15,314.63
  4. Step 4: Simplify right side
    23,702.99x = 500,877,713.20
  5. Step 5: Solve for x
    x = 500,877,713.20/23,702.99
  6. Step 6: Final answer
    x = 21,131.42

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Why These Related Problems?

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