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Finding the Fourth Proportional to 23,051.74, 34,569.91 and 9,008.14

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Solution

The fourth proportional to 23,051.74, 34,569.91 and 9,008.14 is: 13,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.74 : 34,569.91 = 9,008.14 : x
  2. Step 2: Convert to fraction form
    23,051.74/34,569.91 = 9,008.14/x
  3. Step 3: Cross multiply
    23,051.74x = 34,569.91 × 9,008.14
  4. Step 4: Simplify right side
    23,051.74x = 311,410,589.07
  5. Step 5: Solve for x
    x = 311,410,589.07/23,051.74
  6. Step 6: Final answer
    x = 13,509.20

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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.