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Finding the Fourth Proportional to 14,822.14, 22,218.62 and 7,036.42

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Solution

The fourth proportional to 14,822.14, 22,218.62 and 7,036.42 is: 10,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.14 : 22,218.62 = 7,036.42 : x
  2. Step 2: Convert to fraction form
    14,822.14/22,218.62 = 7,036.42/x
  3. Step 3: Cross multiply
    14,822.14x = 22,218.62 × 7,036.42
  4. Step 4: Simplify right side
    14,822.14x = 156,339,542.14
  5. Step 5: Solve for x
    x = 156,339,542.14/14,822.14
  6. Step 6: Final answer
    x = 10,547.70

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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.