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Finding the Fourth Proportional to 22,456.95, 33,641.67 and 13,670.07

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Solution

The fourth proportional to 22,456.95, 33,641.67 and 13,670.07 is: 20,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.95 : 33,641.67 = 13,670.07 : x
  2. Step 2: Convert to fraction form
    22,456.95/33,641.67 = 13,670.07/x
  3. Step 3: Cross multiply
    22,456.95x = 33,641.67 × 13,670.07
  4. Step 4: Simplify right side
    22,456.95x = 459,883,983.82
  5. Step 5: Solve for x
    x = 459,883,983.82/22,456.95
  6. Step 6: Final answer
    x = 20,478.47

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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.