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Finding the Fourth Proportional to 15,067, 22,600.50 and 4,678.75

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Solution

The fourth proportional to 15,067, 22,600.50 and 4,678.75 is: 7,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,067 : 22,600.50 = 4,678.75 : x
  2. Step 2: Convert to fraction form
    15,067/22,600.50 = 4,678.75/x
  3. Step 3: Cross multiply
    15,067x = 22,600.50 × 4,678.75
  4. Step 4: Simplify right side
    15,067x = 105,742,089.38
  5. Step 5: Solve for x
    x = 105,742,089.38/15,067
  6. Step 6: Final answer
    x = 7,018.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.