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Finding the Fourth Proportional to 14,062.04, 19,404.84 and 7,774

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Solution

The fourth proportional to 14,062.04, 19,404.84 and 7,774 is: 10,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.04 : 19,404.84 = 7,774 : x
  2. Step 2: Convert to fraction form
    14,062.04/19,404.84 = 7,774/x
  3. Step 3: Cross multiply
    14,062.04x = 19,404.84 × 7,774
  4. Step 4: Simplify right side
    14,062.04x = 150,853,226.16
  5. Step 5: Solve for x
    x = 150,853,226.16/14,062.04
  6. Step 6: Final answer
    x = 10,727.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.