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Finding the Fourth Proportional to 13,486.39, 18,603.61 and 8,509.75

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Solution

The fourth proportional to 13,486.39, 18,603.61 and 8,509.75 is: 11,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.39 : 18,603.61 = 8,509.75 : x
  2. Step 2: Convert to fraction form
    13,486.39/18,603.61 = 8,509.75/x
  3. Step 3: Cross multiply
    13,486.39x = 18,603.61 × 8,509.75
  4. Step 4: Simplify right side
    13,486.39x = 158,312,070.20
  5. Step 5: Solve for x
    x = 158,312,070.20/13,486.39
  6. Step 6: Final answer
    x = 11,738.65

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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.