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Finding the Fourth Proportional to 10,454.22, 14,406.90 and 10,262.08

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Solution

The fourth proportional to 10,454.22, 14,406.90 and 10,262.08 is: 14,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.22 : 14,406.90 = 10,262.08 : x
  2. Step 2: Convert to fraction form
    10,454.22/14,406.90 = 10,262.08/x
  3. Step 3: Cross multiply
    10,454.22x = 14,406.90 × 10,262.08
  4. Step 4: Simplify right side
    10,454.22x = 147,844,637.01
  5. Step 5: Solve for x
    x = 147,844,637.01/10,454.22
  6. Step 6: Final answer
    x = 14,142.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.