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Finding the Fourth Proportional to 19,311.81, 28,970.85 and 5,981.69

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Solution

The fourth proportional to 19,311.81, 28,970.85 and 5,981.69 is: 8,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.81 : 28,970.85 = 5,981.69 : x
  2. Step 2: Convert to fraction form
    19,311.81/28,970.85 = 5,981.69/x
  3. Step 3: Cross multiply
    19,311.81x = 28,970.85 × 5,981.69
  4. Step 4: Simplify right side
    19,311.81x = 173,294,643.74
  5. Step 5: Solve for x
    x = 173,294,643.74/19,311.81
  6. Step 6: Final answer
    x = 8,973.51

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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.