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Finding the Fourth Proportional to 14,223.92, 19,631 and 10,258.16

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Solution

The fourth proportional to 14,223.92, 19,631 and 10,258.16 is: 14,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.92 : 19,631 = 10,258.16 : x
  2. Step 2: Convert to fraction form
    14,223.92/19,631 = 10,258.16/x
  3. Step 3: Cross multiply
    14,223.92x = 19,631 × 10,258.16
  4. Step 4: Simplify right side
    14,223.92x = 201,377,938.96
  5. Step 5: Solve for x
    x = 201,377,938.96/14,223.92
  6. Step 6: Final answer
    x = 14,157.70

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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.