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Finding the Fourth Proportional to 22,492.90, 33,741.17 and 7,697.85

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Solution

The fourth proportional to 22,492.90, 33,741.17 and 7,697.85 is: 11,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.90 : 33,741.17 = 7,697.85 : x
  2. Step 2: Convert to fraction form
    22,492.90/33,741.17 = 7,697.85/x
  3. Step 3: Cross multiply
    22,492.90x = 33,741.17 × 7,697.85
  4. Step 4: Simplify right side
    22,492.90x = 259,734,465.48
  5. Step 5: Solve for x
    x = 259,734,465.48/22,492.90
  6. Step 6: Final answer
    x = 11,547.40

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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.