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Finding the Fourth Proportional to 24,492.84, 36,731.58 and 8,073

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Solution

The fourth proportional to 24,492.84, 36,731.58 and 8,073 is: 12,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.84 : 36,731.58 = 8,073 : x
  2. Step 2: Convert to fraction form
    24,492.84/36,731.58 = 8,073/x
  3. Step 3: Cross multiply
    24,492.84x = 36,731.58 × 8,073
  4. Step 4: Simplify right side
    24,492.84x = 296,534,045.34
  5. Step 5: Solve for x
    x = 296,534,045.34/24,492.84
  6. Step 6: Final answer
    x = 12,106.97

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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.