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Finding the Fourth Proportional to 15,720.24, 21,693.70 and 8,646.24

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Solution

The fourth proportional to 15,720.24, 21,693.70 and 8,646.24 is: 11,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.24 : 21,693.70 = 8,646.24 : x
  2. Step 2: Convert to fraction form
    15,720.24/21,693.70 = 8,646.24/x
  3. Step 3: Cross multiply
    15,720.24x = 21,693.70 × 8,646.24
  4. Step 4: Simplify right side
    15,720.24x = 187,568,936.69
  5. Step 5: Solve for x
    x = 187,568,936.69/15,720.24
  6. Step 6: Final answer
    x = 11,931.68

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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.