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Finding the Fourth Proportional to 14,690.50, 22,035.75 and 3,746.50

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Solution

The fourth proportional to 14,690.50, 22,035.75 and 3,746.50 is: 5,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.50 : 22,035.75 = 3,746.50 : x
  2. Step 2: Convert to fraction form
    14,690.50/22,035.75 = 3,746.50/x
  3. Step 3: Cross multiply
    14,690.50x = 22,035.75 × 3,746.50
  4. Step 4: Simplify right side
    14,690.50x = 82,556,937.38
  5. Step 5: Solve for x
    x = 82,556,937.38/14,690.50
  6. Step 6: Final answer
    x = 5,619.75

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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.