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Finding the Fourth Proportional to 20,219, 27,903.36 and 11,266.18

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Solution

The fourth proportional to 20,219, 27,903.36 and 11,266.18 is: 15,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219 : 27,903.36 = 11,266.18 : x
  2. Step 2: Convert to fraction form
    20,219/27,903.36 = 11,266.18/x
  3. Step 3: Cross multiply
    20,219x = 27,903.36 × 11,266.18
  4. Step 4: Simplify right side
    20,219x = 314,364,276.36
  5. Step 5: Solve for x
    x = 314,364,276.36/20,219
  6. Step 6: Final answer
    x = 15,547.96

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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.