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Finding the Fourth Proportional to 17,655.39, 24,371.38 and 10,580.45

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Solution

The fourth proportional to 17,655.39, 24,371.38 and 10,580.45 is: 14,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.39 : 24,371.38 = 10,580.45 : x
  2. Step 2: Convert to fraction form
    17,655.39/24,371.38 = 10,580.45/x
  3. Step 3: Cross multiply
    17,655.39x = 24,371.38 × 10,580.45
  4. Step 4: Simplify right side
    17,655.39x = 257,860,045.66
  5. Step 5: Solve for x
    x = 257,860,045.66/17,655.39
  6. Step 6: Final answer
    x = 14,605.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.