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Finding the Fourth Proportional to 22,733.84, 34,097.52 and 7,151.06

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Solution

The fourth proportional to 22,733.84, 34,097.52 and 7,151.06 is: 10,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.84 : 34,097.52 = 7,151.06 : x
  2. Step 2: Convert to fraction form
    22,733.84/34,097.52 = 7,151.06/x
  3. Step 3: Cross multiply
    22,733.84x = 34,097.52 × 7,151.06
  4. Step 4: Simplify right side
    22,733.84x = 243,833,411.37
  5. Step 5: Solve for x
    x = 243,833,411.37/22,733.84
  6. Step 6: Final answer
    x = 10,725.57

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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.