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Finding the Fourth Proportional to 13,803.39, 19,025.88 and 9,765

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Solution

The fourth proportional to 13,803.39, 19,025.88 and 9,765 is: 13,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.39 : 19,025.88 = 9,765 : x
  2. Step 2: Convert to fraction form
    13,803.39/19,025.88 = 9,765/x
  3. Step 3: Cross multiply
    13,803.39x = 19,025.88 × 9,765
  4. Step 4: Simplify right side
    13,803.39x = 185,787,718.20
  5. Step 5: Solve for x
    x = 185,787,718.20/13,803.39
  6. Step 6: Final answer
    x = 13,459.57

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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.