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Finding the Fourth Proportional to 22,832.63, 34,259.20 and 14,510.48

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Solution

The fourth proportional to 22,832.63, 34,259.20 and 14,510.48 is: 21,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.63 : 34,259.20 = 14,510.48 : x
  2. Step 2: Convert to fraction form
    22,832.63/34,259.20 = 14,510.48/x
  3. Step 3: Cross multiply
    22,832.63x = 34,259.20 × 14,510.48
  4. Step 4: Simplify right side
    22,832.63x = 497,117,485.79
  5. Step 5: Solve for x
    x = 497,117,485.79/22,832.63
  6. Step 6: Final answer
    x = 21,772.24

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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.