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Finding the Fourth Proportional to 16,371.32, 24,568.32 and 6,509.58

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Solution

The fourth proportional to 16,371.32, 24,568.32 and 6,509.58 is: 9,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.32 : 24,568.32 = 6,509.58 : x
  2. Step 2: Convert to fraction form
    16,371.32/24,568.32 = 6,509.58/x
  3. Step 3: Cross multiply
    16,371.32x = 24,568.32 × 6,509.58
  4. Step 4: Simplify right side
    16,371.32x = 159,929,444.51
  5. Step 5: Solve for x
    x = 159,929,444.51/16,371.32
  6. Step 6: Final answer
    x = 9,768.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.