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Finding the Fourth Proportional to 22,643.98, 33,955.05 and 9,492.82

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Solution

The fourth proportional to 22,643.98, 33,955.05 and 9,492.82 is: 14,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.98 : 33,955.05 = 9,492.82 : x
  2. Step 2: Convert to fraction form
    22,643.98/33,955.05 = 9,492.82/x
  3. Step 3: Cross multiply
    22,643.98x = 33,955.05 × 9,492.82
  4. Step 4: Simplify right side
    22,643.98x = 322,329,177.74
  5. Step 5: Solve for x
    x = 322,329,177.74/22,643.98
  6. Step 6: Final answer
    x = 14,234.65

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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.