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Finding the Fourth Proportional to 17,714.25, 24,445.67 and 9,756.45

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Solution

The fourth proportional to 17,714.25, 24,445.67 and 9,756.45 is: 13,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.25 : 24,445.67 = 9,756.45 : x
  2. Step 2: Convert to fraction form
    17,714.25/24,445.67 = 9,756.45/x
  3. Step 3: Cross multiply
    17,714.25x = 24,445.67 × 9,756.45
  4. Step 4: Simplify right side
    17,714.25x = 238,502,908.29
  5. Step 5: Solve for x
    x = 238,502,908.29/17,714.25
  6. Step 6: Final answer
    x = 13,463.90

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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.