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Finding the Fourth Proportional to 21,011.60, 31,431.29 and 19,164.27

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Solution

The fourth proportional to 21,011.60, 31,431.29 and 19,164.27 is: 28,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.60 : 31,431.29 = 19,164.27 : x
  2. Step 2: Convert to fraction form
    21,011.60/31,431.29 = 19,164.27/x
  3. Step 3: Cross multiply
    21,011.60x = 31,431.29 × 19,164.27
  4. Step 4: Simplify right side
    21,011.60x = 602,357,769.45
  5. Step 5: Solve for x
    x = 602,357,769.45/21,011.60
  6. Step 6: Final answer
    x = 28,667.86

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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.