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Finding the Fourth Proportional to 14,155.38, 19,535.34 and 7,867.74

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Solution

The fourth proportional to 14,155.38, 19,535.34 and 7,867.74 is: 10,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.38 : 19,535.34 = 7,867.74 : x
  2. Step 2: Convert to fraction form
    14,155.38/19,535.34 = 7,867.74/x
  3. Step 3: Cross multiply
    14,155.38x = 19,535.34 × 7,867.74
  4. Step 4: Simplify right side
    14,155.38x = 153,698,975.93
  5. Step 5: Solve for x
    x = 153,698,975.93/14,155.38
  6. Step 6: Final answer
    x = 10,857.99

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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.