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Finding the Fourth Proportional to 15,967.23, 22,039.89 and 10,302.14

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Solution

The fourth proportional to 15,967.23, 22,039.89 and 10,302.14 is: 14,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.23 : 22,039.89 = 10,302.14 : x
  2. Step 2: Convert to fraction form
    15,967.23/22,039.89 = 10,302.14/x
  3. Step 3: Cross multiply
    15,967.23x = 22,039.89 × 10,302.14
  4. Step 4: Simplify right side
    15,967.23x = 227,058,087.46
  5. Step 5: Solve for x
    x = 227,058,087.46/15,967.23
  6. Step 6: Final answer
    x = 14,220.26

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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.