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Finding the Fourth Proportional to 22,110.67, 30,533 and 14,046.93

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Solution

The fourth proportional to 22,110.67, 30,533 and 14,046.93 is: 19,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,110.67 : 30,533 = 14,046.93 : x
  2. Step 2: Convert to fraction form
    22,110.67/30,533 = 14,046.93/x
  3. Step 3: Cross multiply
    22,110.67x = 30,533 × 14,046.93
  4. Step 4: Simplify right side
    22,110.67x = 428,894,913.69
  5. Step 5: Solve for x
    x = 428,894,913.69/22,110.67
  6. Step 6: Final answer
    x = 19,397.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.