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Finding the Fourth Proportional to 21,077.81, 31,632.29 and 9,984.51

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Solution

The fourth proportional to 21,077.81, 31,632.29 and 9,984.51 is: 14,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.81 : 31,632.29 = 9,984.51 : x
  2. Step 2: Convert to fraction form
    21,077.81/31,632.29 = 9,984.51/x
  3. Step 3: Cross multiply
    21,077.81x = 31,632.29 × 9,984.51
  4. Step 4: Simplify right side
    21,077.81x = 315,832,915.83
  5. Step 5: Solve for x
    x = 315,832,915.83/21,077.81
  6. Step 6: Final answer
    x = 14,984.14

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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.