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Finding the Fourth Proportional to 24,809.94, 34,238.32 and 14,202.98

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Solution

The fourth proportional to 24,809.94, 34,238.32 and 14,202.98 is: 19,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.94 : 34,238.32 = 14,202.98 : x
  2. Step 2: Convert to fraction form
    24,809.94/34,238.32 = 14,202.98/x
  3. Step 3: Cross multiply
    24,809.94x = 34,238.32 × 14,202.98
  4. Step 4: Simplify right side
    24,809.94x = 486,286,174.19
  5. Step 5: Solve for x
    x = 486,286,174.19/24,809.94
  6. Step 6: Final answer
    x = 19,600.46

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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.