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Finding the Fourth Proportional to 22,292, 33,430.26 and 6,492.74

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Solution

The fourth proportional to 22,292, 33,430.26 and 6,492.74 is: 9,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292 : 33,430.26 = 6,492.74 : x
  2. Step 2: Convert to fraction form
    22,292/33,430.26 = 6,492.74/x
  3. Step 3: Cross multiply
    22,292x = 33,430.26 × 6,492.74
  4. Step 4: Simplify right side
    22,292x = 217,053,986.31
  5. Step 5: Solve for x
    x = 217,053,986.31/22,292
  6. Step 6: Final answer
    x = 9,736.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.