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Finding the Fourth Proportional to 13,182.08, 19,773 and 5,385.40

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Solution

The fourth proportional to 13,182.08, 19,773 and 5,385.40 is: 8,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.08 : 19,773 = 5,385.40 : x
  2. Step 2: Convert to fraction form
    13,182.08/19,773 = 5,385.40/x
  3. Step 3: Cross multiply
    13,182.08x = 19,773 × 5,385.40
  4. Step 4: Simplify right side
    13,182.08x = 106,485,514.20
  5. Step 5: Solve for x
    x = 106,485,514.20/13,182.08
  6. Step 6: Final answer
    x = 8,078.05

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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.