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Finding the Fourth Proportional to 21,020.16, 31,529.16 and 5,437.40

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Solution

The fourth proportional to 21,020.16, 31,529.16 and 5,437.40 is: 8,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.16 : 31,529.16 = 5,437.40 : x
  2. Step 2: Convert to fraction form
    21,020.16/31,529.16 = 5,437.40/x
  3. Step 3: Cross multiply
    21,020.16x = 31,529.16 × 5,437.40
  4. Step 4: Simplify right side
    21,020.16x = 171,436,654.58
  5. Step 5: Solve for x
    x = 171,436,654.58/21,020.16
  6. Step 6: Final answer
    x = 8,155.82

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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.