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Finding the Fourth Proportional to 13,002.50, 19,432.18 and 9,499.80

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Solution

The fourth proportional to 13,002.50, 19,432.18 and 9,499.80 is: 14,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.50 : 19,432.18 = 9,499.80 : x
  2. Step 2: Convert to fraction form
    13,002.50/19,432.18 = 9,499.80/x
  3. Step 3: Cross multiply
    13,002.50x = 19,432.18 × 9,499.80
  4. Step 4: Simplify right side
    13,002.50x = 184,601,823.56
  5. Step 5: Solve for x
    x = 184,601,823.56/13,002.50
  6. Step 6: Final answer
    x = 14,197.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.