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Finding the Fourth Proportional to 17,807.40, 26,713.98 and 7,946.44

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Solution

The fourth proportional to 17,807.40, 26,713.98 and 7,946.44 is: 11,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.40 : 26,713.98 = 7,946.44 : x
  2. Step 2: Convert to fraction form
    17,807.40/26,713.98 = 7,946.44/x
  3. Step 3: Cross multiply
    17,807.40x = 26,713.98 × 7,946.44
  4. Step 4: Simplify right side
    17,807.40x = 212,281,039.23
  5. Step 5: Solve for x
    x = 212,281,039.23/17,807.40
  6. Step 6: Final answer
    x = 11,920.95

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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.