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Finding the Fourth Proportional to 24,703.20, 37,061.73 and 9,922.50

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Solution

The fourth proportional to 24,703.20, 37,061.73 and 9,922.50 is: 14,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.20 : 37,061.73 = 9,922.50 : x
  2. Step 2: Convert to fraction form
    24,703.20/37,061.73 = 9,922.50/x
  3. Step 3: Cross multiply
    24,703.20x = 37,061.73 × 9,922.50
  4. Step 4: Simplify right side
    24,703.20x = 367,745,015.93
  5. Step 5: Solve for x
    x = 367,745,015.93/24,703.20
  6. Step 6: Final answer
    x = 14,886.53

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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.