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Finding the Fourth Proportional to 17,415.90, 24,040.80 and 11,754

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Solution

The fourth proportional to 17,415.90, 24,040.80 and 11,754 is: 16,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415.90 : 24,040.80 = 11,754 : x
  2. Step 2: Convert to fraction form
    17,415.90/24,040.80 = 11,754/x
  3. Step 3: Cross multiply
    17,415.90x = 24,040.80 × 11,754
  4. Step 4: Simplify right side
    17,415.90x = 282,575,563.20
  5. Step 5: Solve for x
    x = 282,575,563.20/17,415.90
  6. Step 6: Final answer
    x = 16,225.15

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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.