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Finding the Fourth Proportional to 16,847.68, 25,256.76 and 6,980.80

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Solution

The fourth proportional to 16,847.68, 25,256.76 and 6,980.80 is: 10,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847.68 : 25,256.76 = 6,980.80 : x
  2. Step 2: Convert to fraction form
    16,847.68/25,256.76 = 6,980.80/x
  3. Step 3: Cross multiply
    16,847.68x = 25,256.76 × 6,980.80
  4. Step 4: Simplify right side
    16,847.68x = 176,312,390.21
  5. Step 5: Solve for x
    x = 176,312,390.21/16,847.68
  6. Step 6: Final answer
    x = 10,465.08

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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.