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Finding the Fourth Proportional to 17,760.32, 24,612.86 and 17,509.76

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Solution

The fourth proportional to 17,760.32, 24,612.86 and 17,509.76 is: 24,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.32 : 24,612.86 = 17,509.76 : x
  2. Step 2: Convert to fraction form
    17,760.32/24,612.86 = 17,509.76/x
  3. Step 3: Cross multiply
    17,760.32x = 24,612.86 × 17,509.76
  4. Step 4: Simplify right side
    17,760.32x = 430,965,271.51
  5. Step 5: Solve for x
    x = 430,965,271.51/17,760.32
  6. Step 6: Final answer
    x = 24,265.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.