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Finding the Fourth Proportional to 20,281.04, 27,987 and 11,328.50

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Solution

The fourth proportional to 20,281.04, 27,987 and 11,328.50 is: 15,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.04 : 27,987 = 11,328.50 : x
  2. Step 2: Convert to fraction form
    20,281.04/27,987 = 11,328.50/x
  3. Step 3: Cross multiply
    20,281.04x = 27,987 × 11,328.50
  4. Step 4: Simplify right side
    20,281.04x = 317,050,729.50
  5. Step 5: Solve for x
    x = 317,050,729.50/20,281.04
  6. Step 6: Final answer
    x = 15,632.86

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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.