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Finding the Fourth Proportional to 20,575, 28,400.79 and 12,191.50

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Solution

The fourth proportional to 20,575, 28,400.79 and 12,191.50 is: 16,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575 : 28,400.79 = 12,191.50 : x
  2. Step 2: Convert to fraction form
    20,575/28,400.79 = 12,191.50/x
  3. Step 3: Cross multiply
    20,575x = 28,400.79 × 12,191.50
  4. Step 4: Simplify right side
    20,575x = 346,248,231.29
  5. Step 5: Solve for x
    x = 346,248,231.29/20,575
  6. Step 6: Final answer
    x = 16,828.59

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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.