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Finding the Fourth Proportional to 22,217.84, 30,646.32 and 13,258.46

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Solution

The fourth proportional to 22,217.84, 30,646.32 and 13,258.46 is: 18,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,217.84 : 30,646.32 = 13,258.46 : x
  2. Step 2: Convert to fraction form
    22,217.84/30,646.32 = 13,258.46/x
  3. Step 3: Cross multiply
    22,217.84x = 30,646.32 × 13,258.46
  4. Step 4: Simplify right side
    22,217.84x = 406,323,007.87
  5. Step 5: Solve for x
    x = 406,323,007.87/22,217.84
  6. Step 6: Final answer
    x = 18,288.14

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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.