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Finding the Fourth Proportional to 13,054.67, 19,543.68 and 8,109.32

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Solution

The fourth proportional to 13,054.67, 19,543.68 and 8,109.32 is: 12,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.67 : 19,543.68 = 8,109.32 : x
  2. Step 2: Convert to fraction form
    13,054.67/19,543.68 = 8,109.32/x
  3. Step 3: Cross multiply
    13,054.67x = 19,543.68 × 8,109.32
  4. Step 4: Simplify right side
    13,054.67x = 158,485,857.38
  5. Step 5: Solve for x
    x = 158,485,857.38/13,054.67
  6. Step 6: Final answer
    x = 12,140.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.