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Finding the Fourth Proportional to 17,574.76, 24,252.96 and 9,616.96

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Solution

The fourth proportional to 17,574.76, 24,252.96 and 9,616.96 is: 13,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.76 : 24,252.96 = 9,616.96 : x
  2. Step 2: Convert to fraction form
    17,574.76/24,252.96 = 9,616.96/x
  3. Step 3: Cross multiply
    17,574.76x = 24,252.96 × 9,616.96
  4. Step 4: Simplify right side
    17,574.76x = 233,239,746.20
  5. Step 5: Solve for x
    x = 233,239,746.20/17,574.76
  6. Step 6: Final answer
    x = 13,271.29

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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.