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Finding the Fourth Proportional to 20,585.74, 30,878.10 and 9,492.42

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Solution

The fourth proportional to 20,585.74, 30,878.10 and 9,492.42 is: 14,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.74 : 30,878.10 = 9,492.42 : x
  2. Step 2: Convert to fraction form
    20,585.74/30,878.10 = 9,492.42/x
  3. Step 3: Cross multiply
    20,585.74x = 30,878.10 × 9,492.42
  4. Step 4: Simplify right side
    20,585.74x = 293,107,852.43
  5. Step 5: Solve for x
    x = 293,107,852.43/20,585.74
  6. Step 6: Final answer
    x = 14,238.39

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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.