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Finding the Fourth Proportional to 14,684.93, 20,275.87 and 9,027.38

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Solution

The fourth proportional to 14,684.93, 20,275.87 and 9,027.38 is: 12,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.93 : 20,275.87 = 9,027.38 : x
  2. Step 2: Convert to fraction form
    14,684.93/20,275.87 = 9,027.38/x
  3. Step 3: Cross multiply
    14,684.93x = 20,275.87 × 9,027.38
  4. Step 4: Simplify right side
    14,684.93x = 183,038,028.37
  5. Step 5: Solve for x
    x = 183,038,028.37/14,684.93
  6. Step 6: Final answer
    x = 12,464.35

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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.