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Finding the Fourth Proportional to 13,309.14, 19,922.19 and 9,803.10

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Solution

The fourth proportional to 13,309.14, 19,922.19 and 9,803.10 is: 14,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.14 : 19,922.19 = 9,803.10 : x
  2. Step 2: Convert to fraction form
    13,309.14/19,922.19 = 9,803.10/x
  3. Step 3: Cross multiply
    13,309.14x = 19,922.19 × 9,803.10
  4. Step 4: Simplify right side
    13,309.14x = 195,299,258.74
  5. Step 5: Solve for x
    x = 195,299,258.74/13,309.14
  6. Step 6: Final answer
    x = 14,674.07

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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.