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Finding the Fourth Proportional to 14,445, 19,933.85 and 8,071.68

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Solution

The fourth proportional to 14,445, 19,933.85 and 8,071.68 is: 11,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 19,933.85 = 8,071.68 : x
  2. Step 2: Convert to fraction form
    14,445/19,933.85 = 8,071.68/x
  3. Step 3: Cross multiply
    14,445x = 19,933.85 × 8,071.68
  4. Step 4: Simplify right side
    14,445x = 160,899,618.01
  5. Step 5: Solve for x
    x = 160,899,618.01/14,445
  6. Step 6: Final answer
    x = 11,138.78

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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.