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Finding the Fourth Proportional to 15,833.67, 21,840.94 and 10,456.17

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Solution

The fourth proportional to 15,833.67, 21,840.94 and 10,456.17 is: 14,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.67 : 21,840.94 = 10,456.17 : x
  2. Step 2: Convert to fraction form
    15,833.67/21,840.94 = 10,456.17/x
  3. Step 3: Cross multiply
    15,833.67x = 21,840.94 × 10,456.17
  4. Step 4: Simplify right side
    15,833.67x = 228,372,581.60
  5. Step 5: Solve for x
    x = 228,372,581.60/15,833.67
  6. Step 6: Final answer
    x = 14,423.22

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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.