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Finding the Fourth Proportional to 21,523.85, 32,289.11 and 10,988.16

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Solution

The fourth proportional to 21,523.85, 32,289.11 and 10,988.16 is: 16,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.85 : 32,289.11 = 10,988.16 : x
  2. Step 2: Convert to fraction form
    21,523.85/32,289.11 = 10,988.16/x
  3. Step 3: Cross multiply
    21,523.85x = 32,289.11 × 10,988.16
  4. Step 4: Simplify right side
    21,523.85x = 354,797,852.00
  5. Step 5: Solve for x
    x = 354,797,852.00/21,523.85
  6. Step 6: Final answer
    x = 16,483.94

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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.