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Finding the Fourth Proportional to 15,832.59, 21,845.23 and 9,457.93

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Solution

The fourth proportional to 15,832.59, 21,845.23 and 9,457.93 is: 13,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.59 : 21,845.23 = 9,457.93 : x
  2. Step 2: Convert to fraction form
    15,832.59/21,845.23 = 9,457.93/x
  3. Step 3: Cross multiply
    15,832.59x = 21,845.23 × 9,457.93
  4. Step 4: Simplify right side
    15,832.59x = 206,610,656.17
  5. Step 5: Solve for x
    x = 206,610,656.17/15,832.59
  6. Step 6: Final answer
    x = 13,049.71

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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.