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Finding the Fourth Proportional to 24,804.68, 34,232.10 and 14,197.64

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Solution

The fourth proportional to 24,804.68, 34,232.10 and 14,197.64 is: 19,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.68 : 34,232.10 = 14,197.64 : x
  2. Step 2: Convert to fraction form
    24,804.68/34,232.10 = 14,197.64/x
  3. Step 3: Cross multiply
    24,804.68x = 34,232.10 × 14,197.64
  4. Step 4: Simplify right side
    24,804.68x = 486,015,032.24
  5. Step 5: Solve for x
    x = 486,015,032.24/24,804.68
  6. Step 6: Final answer
    x = 19,593.68

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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.