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Finding the Fourth Proportional to 21,886, 30,191.88 and 13,816.06

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Solution

The fourth proportional to 21,886, 30,191.88 and 13,816.06 is: 19,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886 : 30,191.88 = 13,816.06 : x
  2. Step 2: Convert to fraction form
    21,886/30,191.88 = 13,816.06/x
  3. Step 3: Cross multiply
    21,886x = 30,191.88 × 13,816.06
  4. Step 4: Simplify right side
    21,886x = 417,132,825.59
  5. Step 5: Solve for x
    x = 417,132,825.59/21,886
  6. Step 6: Final answer
    x = 19,059.35

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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.