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Finding the Fourth Proportional to 14,365.92, 19,824.64 and 8,078.08

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Solution

The fourth proportional to 14,365.92, 19,824.64 and 8,078.08 is: 11,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.92 : 19,824.64 = 8,078.08 : x
  2. Step 2: Convert to fraction form
    14,365.92/19,824.64 = 8,078.08/x
  3. Step 3: Cross multiply
    14,365.92x = 19,824.64 × 8,078.08
  4. Step 4: Simplify right side
    14,365.92x = 160,145,027.89
  5. Step 5: Solve for x
    x = 160,145,027.89/14,365.92
  6. Step 6: Final answer
    x = 11,147.57

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1.5x scale

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.