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Finding the Fourth Proportional to 16,867.68, 25,303.68 and 6,478.08

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Solution

The fourth proportional to 16,867.68, 25,303.68 and 6,478.08 is: 9,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,867.68 : 25,303.68 = 6,478.08 : x
  2. Step 2: Convert to fraction form
    16,867.68/25,303.68 = 6,478.08/x
  3. Step 3: Cross multiply
    16,867.68x = 25,303.68 × 6,478.08
  4. Step 4: Simplify right side
    16,867.68x = 163,919,263.33
  5. Step 5: Solve for x
    x = 163,919,263.33/16,867.68
  6. Step 6: Final answer
    x = 9,717.95

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Why These Related Problems?

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