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Finding the Fourth Proportional to 20,131.68, 27,798.28 and 13,070.16

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Solution

The fourth proportional to 20,131.68, 27,798.28 and 13,070.16 is: 18,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.68 : 27,798.28 = 13,070.16 : x
  2. Step 2: Convert to fraction form
    20,131.68/27,798.28 = 13,070.16/x
  3. Step 3: Cross multiply
    20,131.68x = 27,798.28 × 13,070.16
  4. Step 4: Simplify right side
    20,131.68x = 363,327,967.32
  5. Step 5: Solve for x
    x = 363,327,967.32/20,131.68
  6. Step 6: Final answer
    x = 18,047.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.