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Finding the Fourth Proportional to 17,670.98, 24,387.53 and 9,714.89

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Solution

The fourth proportional to 17,670.98, 24,387.53 and 9,714.89 is: 13,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.98 : 24,387.53 = 9,714.89 : x
  2. Step 2: Convert to fraction form
    17,670.98/24,387.53 = 9,714.89/x
  3. Step 3: Cross multiply
    17,670.98x = 24,387.53 × 9,714.89
  4. Step 4: Simplify right side
    17,670.98x = 236,922,000.81
  5. Step 5: Solve for x
    x = 236,922,000.81/17,670.98
  6. Step 6: Final answer
    x = 13,407.41

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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.