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Finding the Fourth Proportional to 24,788.93, 37,185.82 and 8,142.21

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Solution

The fourth proportional to 24,788.93, 37,185.82 and 8,142.21 is: 12,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.93 : 37,185.82 = 8,142.21 : x
  2. Step 2: Convert to fraction form
    24,788.93/37,185.82 = 8,142.21/x
  3. Step 3: Cross multiply
    24,788.93x = 37,185.82 × 8,142.21
  4. Step 4: Simplify right side
    24,788.93x = 302,774,735.11
  5. Step 5: Solve for x
    x = 302,774,735.11/24,788.93
  6. Step 6: Final answer
    x = 12,214.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.