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Finding the Fourth Proportional to 17,422.49, 26,002.07 and 15,740.98

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Solution

The fourth proportional to 17,422.49, 26,002.07 and 15,740.98 is: 23,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.49 : 26,002.07 = 15,740.98 : x
  2. Step 2: Convert to fraction form
    17,422.49/26,002.07 = 15,740.98/x
  3. Step 3: Cross multiply
    17,422.49x = 26,002.07 × 15,740.98
  4. Step 4: Simplify right side
    17,422.49x = 409,298,150.44
  5. Step 5: Solve for x
    x = 409,298,150.44/17,422.49
  6. Step 6: Final answer
    x = 23,492.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.