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Finding the Fourth Proportional to 14,878, 22,318.44 and 5,019.76

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Solution

The fourth proportional to 14,878, 22,318.44 and 5,019.76 is: 7,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878 : 22,318.44 = 5,019.76 : x
  2. Step 2: Convert to fraction form
    14,878/22,318.44 = 5,019.76/x
  3. Step 3: Cross multiply
    14,878x = 22,318.44 × 5,019.76
  4. Step 4: Simplify right side
    14,878x = 112,033,212.37
  5. Step 5: Solve for x
    x = 112,033,212.37/14,878
  6. Step 6: Final answer
    x = 7,530.13

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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.