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Finding the Fourth Proportional to 21,087.16, 31,646.32 and 9,993.89

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Solution

The fourth proportional to 21,087.16, 31,646.32 and 9,993.89 is: 14,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087.16 : 31,646.32 = 9,993.89 : x
  2. Step 2: Convert to fraction form
    21,087.16/31,646.32 = 9,993.89/x
  3. Step 3: Cross multiply
    21,087.16x = 31,646.32 × 9,993.89
  4. Step 4: Simplify right side
    21,087.16x = 316,269,700.71
  5. Step 5: Solve for x
    x = 316,269,700.71/21,087.16
  6. Step 6: Final answer
    x = 14,998.21

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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.