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Finding the Fourth Proportional to 22,722.72, 34,088.68 and 9,575.08

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Solution

The fourth proportional to 22,722.72, 34,088.68 and 9,575.08 is: 14,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.72 : 34,088.68 = 9,575.08 : x
  2. Step 2: Convert to fraction form
    22,722.72/34,088.68 = 9,575.08/x
  3. Step 3: Cross multiply
    22,722.72x = 34,088.68 × 9,575.08
  4. Step 4: Simplify right side
    22,722.72x = 326,401,838.09
  5. Step 5: Solve for x
    x = 326,401,838.09/22,722.72
  6. Step 6: Final answer
    x = 14,364.56

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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.