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Finding the Fourth Proportional to 14,420.40, 21,602.55 and 9,475.14

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Solution

The fourth proportional to 14,420.40, 21,602.55 and 9,475.14 is: 14,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.40 : 21,602.55 = 9,475.14 : x
  2. Step 2: Convert to fraction form
    14,420.40/21,602.55 = 9,475.14/x
  3. Step 3: Cross multiply
    14,420.40x = 21,602.55 × 9,475.14
  4. Step 4: Simplify right side
    14,420.40x = 204,687,185.61
  5. Step 5: Solve for x
    x = 204,687,185.61/14,420.40
  6. Step 6: Final answer
    x = 14,194.28

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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.