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Finding the Fourth Proportional to 17,744.84, 26,564.12 and 17,113.98

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Solution

The fourth proportional to 17,744.84, 26,564.12 and 17,113.98 is: 25,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.84 : 26,564.12 = 17,113.98 : x
  2. Step 2: Convert to fraction form
    17,744.84/26,564.12 = 17,113.98/x
  3. Step 3: Cross multiply
    17,744.84x = 26,564.12 × 17,113.98
  4. Step 4: Simplify right side
    17,744.84x = 454,617,818.40
  5. Step 5: Solve for x
    x = 454,617,818.40/17,744.84
  6. Step 6: Final answer
    x = 25,619.72

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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.