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Finding the Fourth Proportional to 14,632.74, 21,906.27 and 9,069.30

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Solution

The fourth proportional to 14,632.74, 21,906.27 and 9,069.30 is: 13,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.74 : 21,906.27 = 9,069.30 : x
  2. Step 2: Convert to fraction form
    14,632.74/21,906.27 = 9,069.30/x
  3. Step 3: Cross multiply
    14,632.74x = 21,906.27 × 9,069.30
  4. Step 4: Simplify right side
    14,632.74x = 198,674,534.51
  5. Step 5: Solve for x
    x = 198,674,534.51/14,632.74
  6. Step 6: Final answer
    x = 13,577.40

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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.