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Finding the Fourth Proportional to 13,643.10, 20,461.41 and 9,259.38

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Solution

The fourth proportional to 13,643.10, 20,461.41 and 9,259.38 is: 13,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.10 : 20,461.41 = 9,259.38 : x
  2. Step 2: Convert to fraction form
    13,643.10/20,461.41 = 9,259.38/x
  3. Step 3: Cross multiply
    13,643.10x = 20,461.41 × 9,259.38
  4. Step 4: Simplify right side
    13,643.10x = 189,459,970.53
  5. Step 5: Solve for x
    x = 189,459,970.53/13,643.10
  6. Step 6: Final answer
    x = 13,886.87

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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.