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Finding the Fourth Proportional to 17,880.68, 26,830.12 and 7,358.80

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Solution

The fourth proportional to 17,880.68, 26,830.12 and 7,358.80 is: 11,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.68 : 26,830.12 = 7,358.80 : x
  2. Step 2: Convert to fraction form
    17,880.68/26,830.12 = 7,358.80/x
  3. Step 3: Cross multiply
    17,880.68x = 26,830.12 × 7,358.80
  4. Step 4: Simplify right side
    17,880.68x = 197,437,487.06
  5. Step 5: Solve for x
    x = 197,437,487.06/17,880.68
  6. Step 6: Final answer
    x = 11,041.95

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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.