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Finding the Fourth Proportional to 14,265.42, 21,406.59 and 6,474.12

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Solution

The fourth proportional to 14,265.42, 21,406.59 and 6,474.12 is: 9,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.42 : 21,406.59 = 6,474.12 : x
  2. Step 2: Convert to fraction form
    14,265.42/21,406.59 = 6,474.12/x
  3. Step 3: Cross multiply
    14,265.42x = 21,406.59 × 6,474.12
  4. Step 4: Simplify right side
    14,265.42x = 138,588,832.45
  5. Step 5: Solve for x
    x = 138,588,832.45/14,265.42
  6. Step 6: Final answer
    x = 9,715.02

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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.