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Finding the Fourth Proportional to 23,433.48, 32,338.04 and 12,822.89

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Solution

The fourth proportional to 23,433.48, 32,338.04 and 12,822.89 is: 17,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.48 : 32,338.04 = 12,822.89 : x
  2. Step 2: Convert to fraction form
    23,433.48/32,338.04 = 12,822.89/x
  3. Step 3: Cross multiply
    23,433.48x = 32,338.04 × 12,822.89
  4. Step 4: Simplify right side
    23,433.48x = 414,666,903.93
  5. Step 5: Solve for x
    x = 414,666,903.93/23,433.48
  6. Step 6: Final answer
    x = 17,695.49

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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.