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Finding the Fourth Proportional to 23,705.88, 32,714.23 and 12,950.91

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Solution

The fourth proportional to 23,705.88, 32,714.23 and 12,950.91 is: 17,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.88 : 32,714.23 = 12,950.91 : x
  2. Step 2: Convert to fraction form
    23,705.88/32,714.23 = 12,950.91/x
  3. Step 3: Cross multiply
    23,705.88x = 32,714.23 × 12,950.91
  4. Step 4: Simplify right side
    23,705.88x = 423,678,820.12
  5. Step 5: Solve for x
    x = 423,678,820.12/23,705.88
  6. Step 6: Final answer
    x = 17,872.31

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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.