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Finding the Fourth Proportional to 21,503.40, 32,216.70 and 13,285.80

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Solution

The fourth proportional to 21,503.40, 32,216.70 and 13,285.80 is: 19,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.40 : 32,216.70 = 13,285.80 : x
  2. Step 2: Convert to fraction form
    21,503.40/32,216.70 = 13,285.80/x
  3. Step 3: Cross multiply
    21,503.40x = 32,216.70 × 13,285.80
  4. Step 4: Simplify right side
    21,503.40x = 428,024,632.86
  5. Step 5: Solve for x
    x = 428,024,632.86/21,503.40
  6. Step 6: Final answer
    x = 19,904.97

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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.