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Finding the Fourth Proportional to 23,065.86, 34,592.41 and 9,023.05

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Solution

The fourth proportional to 23,065.86, 34,592.41 and 9,023.05 is: 13,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.86 : 34,592.41 = 9,023.05 : x
  2. Step 2: Convert to fraction form
    23,065.86/34,592.41 = 9,023.05/x
  3. Step 3: Cross multiply
    23,065.86x = 34,592.41 × 9,023.05
  4. Step 4: Simplify right side
    23,065.86x = 312,129,045.05
  5. Step 5: Solve for x
    x = 312,129,045.05/23,065.86
  6. Step 6: Final answer
    x = 13,532.08

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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.