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Finding the Fourth Proportional to 24,817.50, 34,277.40 and 16,419.42

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Solution

The fourth proportional to 24,817.50, 34,277.40 and 16,419.42 is: 22,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.50 : 34,277.40 = 16,419.42 : x
  2. Step 2: Convert to fraction form
    24,817.50/34,277.40 = 16,419.42/x
  3. Step 3: Cross multiply
    24,817.50x = 34,277.40 × 16,419.42
  4. Step 4: Simplify right side
    24,817.50x = 562,815,027.11
  5. Step 5: Solve for x
    x = 562,815,027.11/24,817.50
  6. Step 6: Final answer
    x = 22,678.15

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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.