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Finding the Fourth Proportional to 13,643.04, 20,453.14 and 4,277.14

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Solution

The fourth proportional to 13,643.04, 20,453.14 and 4,277.14 is: 6,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.04 : 20,453.14 = 4,277.14 : x
  2. Step 2: Convert to fraction form
    13,643.04/20,453.14 = 4,277.14/x
  3. Step 3: Cross multiply
    13,643.04x = 20,453.14 × 4,277.14
  4. Step 4: Simplify right side
    13,643.04x = 87,480,943.22
  5. Step 5: Solve for x
    x = 87,480,943.22/13,643.04
  6. Step 6: Final answer
    x = 6,412.13

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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.