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Finding the Fourth Proportional to 13,643.40, 20,465.22 and 4,872.18

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Solution

The fourth proportional to 13,643.40, 20,465.22 and 4,872.18 is: 7,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.40 : 20,465.22 = 4,872.18 : x
  2. Step 2: Convert to fraction form
    13,643.40/20,465.22 = 4,872.18/x
  3. Step 3: Cross multiply
    13,643.40x = 20,465.22 × 4,872.18
  4. Step 4: Simplify right side
    13,643.40x = 99,710,235.58
  5. Step 5: Solve for x
    x = 99,710,235.58/13,643.40
  6. Step 6: Final answer
    x = 7,308.31

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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.