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Finding the Fourth Proportional to 22,832.16, 34,254.76 and 13,480.72

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Solution

The fourth proportional to 22,832.16, 34,254.76 and 13,480.72 is: 20,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.16 : 34,254.76 = 13,480.72 : x
  2. Step 2: Convert to fraction form
    22,832.16/34,254.76 = 13,480.72/x
  3. Step 3: Cross multiply
    22,832.16x = 34,254.76 × 13,480.72
  4. Step 4: Simplify right side
    22,832.16x = 461,778,828.23
  5. Step 5: Solve for x
    x = 461,778,828.23/22,832.16
  6. Step 6: Final answer
    x = 20,224.93

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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.