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Finding the Fourth Proportional to 23,041.09, 34,575.08 and 9,713.27

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Solution

The fourth proportional to 23,041.09, 34,575.08 and 9,713.27 is: 14,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.09 : 34,575.08 = 9,713.27 : x
  2. Step 2: Convert to fraction form
    23,041.09/34,575.08 = 9,713.27/x
  3. Step 3: Cross multiply
    23,041.09x = 34,575.08 × 9,713.27
  4. Step 4: Simplify right side
    23,041.09x = 335,837,125.18
  5. Step 5: Solve for x
    x = 335,837,125.18/23,041.09
  6. Step 6: Final answer
    x = 14,575.58

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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.