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Finding the Fourth Proportional to 22,832.25, 34,258.64 and 14,510.11

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Solution

The fourth proportional to 22,832.25, 34,258.64 and 14,510.11 is: 21,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.25 : 34,258.64 = 14,510.11 : x
  2. Step 2: Convert to fraction form
    22,832.25/34,258.64 = 14,510.11/x
  3. Step 3: Cross multiply
    22,832.25x = 34,258.64 × 14,510.11
  4. Step 4: Simplify right side
    22,832.25x = 497,096,476.65
  5. Step 5: Solve for x
    x = 497,096,476.65/22,832.25
  6. Step 6: Final answer
    x = 21,771.68

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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.