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Finding the Fourth Proportional to 14,475.78, 19,977.03 and 8,187.75

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Solution

The fourth proportional to 14,475.78, 19,977.03 and 8,187.75 is: 11,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.78 : 19,977.03 = 8,187.75 : x
  2. Step 2: Convert to fraction form
    14,475.78/19,977.03 = 8,187.75/x
  3. Step 3: Cross multiply
    14,475.78x = 19,977.03 × 8,187.75
  4. Step 4: Simplify right side
    14,475.78x = 163,566,927.38
  5. Step 5: Solve for x
    x = 163,566,927.38/14,475.78
  6. Step 6: Final answer
    x = 11,299.35

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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.