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Finding the Fourth Proportional to 17,663.15, 24,374.86 and 9,705.20

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Solution

The fourth proportional to 17,663.15, 24,374.86 and 9,705.20 is: 13,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.15 : 24,374.86 = 9,705.20 : x
  2. Step 2: Convert to fraction form
    17,663.15/24,374.86 = 9,705.20/x
  3. Step 3: Cross multiply
    17,663.15x = 24,374.86 × 9,705.20
  4. Step 4: Simplify right side
    17,663.15x = 236,562,882.24
  5. Step 5: Solve for x
    x = 236,562,882.24/17,663.15
  6. Step 6: Final answer
    x = 13,393.02

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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.