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Finding the Fourth Proportional to 17,711.84, 26,570.64 and 6,023.84

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Solution

The fourth proportional to 17,711.84, 26,570.64 and 6,023.84 is: 9,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.84 : 26,570.64 = 6,023.84 : x
  2. Step 2: Convert to fraction form
    17,711.84/26,570.64 = 6,023.84/x
  3. Step 3: Cross multiply
    17,711.84x = 26,570.64 × 6,023.84
  4. Step 4: Simplify right side
    17,711.84x = 160,057,284.06
  5. Step 5: Solve for x
    x = 160,057,284.06/17,711.84
  6. Step 6: Final answer
    x = 9,036.74

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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.