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Finding the Fourth Proportional to 17,574.96, 24,253.59 and 9,617.25

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Solution

The fourth proportional to 17,574.96, 24,253.59 and 9,617.25 is: 13,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.96 : 24,253.59 = 9,617.25 : x
  2. Step 2: Convert to fraction form
    17,574.96/24,253.59 = 9,617.25/x
  3. Step 3: Cross multiply
    17,574.96x = 24,253.59 × 9,617.25
  4. Step 4: Simplify right side
    17,574.96x = 233,252,838.43
  5. Step 5: Solve for x
    x = 233,252,838.43/17,574.96
  6. Step 6: Final answer
    x = 13,271.88

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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.