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Finding the Fourth Proportional to 24,492.44, 36,741.10 and 7,848.30

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Solution

The fourth proportional to 24,492.44, 36,741.10 and 7,848.30 is: 11,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.44 : 36,741.10 = 7,848.30 : x
  2. Step 2: Convert to fraction form
    24,492.44/36,741.10 = 7,848.30/x
  3. Step 3: Cross multiply
    24,492.44x = 36,741.10 × 7,848.30
  4. Step 4: Simplify right side
    24,492.44x = 288,355,175.13
  5. Step 5: Solve for x
    x = 288,355,175.13/24,492.44
  6. Step 6: Final answer
    x = 11,773.23

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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.