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Finding the Fourth Proportional to 23,712.90, 35,570.97 and 6,184.50

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Solution

The fourth proportional to 23,712.90, 35,570.97 and 6,184.50 is: 9,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.90 : 35,570.97 = 6,184.50 : x
  2. Step 2: Convert to fraction form
    23,712.90/35,570.97 = 6,184.50/x
  3. Step 3: Cross multiply
    23,712.90x = 35,570.97 × 6,184.50
  4. Step 4: Simplify right side
    23,712.90x = 219,988,663.97
  5. Step 5: Solve for x
    x = 219,988,663.97/23,712.90
  6. Step 6: Final answer
    x = 9,277.17

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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.