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Finding the Fourth Proportional to 14,902.14, 22,339.32 and 5,034.53

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Solution

The fourth proportional to 14,902.14, 22,339.32 and 5,034.53 is: 7,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.14 : 22,339.32 = 5,034.53 : x
  2. Step 2: Convert to fraction form
    14,902.14/22,339.32 = 5,034.53/x
  3. Step 3: Cross multiply
    14,902.14x = 22,339.32 × 5,034.53
  4. Step 4: Simplify right side
    14,902.14x = 112,467,865.02
  5. Step 5: Solve for x
    x = 112,467,865.02/14,902.14
  6. Step 6: Final answer
    x = 7,547.09

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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.