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Finding the Fourth Proportional to 14,192.83, 19,583.13 and 8,224.15

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Solution

The fourth proportional to 14,192.83, 19,583.13 and 8,224.15 is: 11,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.83 : 19,583.13 = 8,224.15 : x
  2. Step 2: Convert to fraction form
    14,192.83/19,583.13 = 8,224.15/x
  3. Step 3: Cross multiply
    14,192.83x = 19,583.13 × 8,224.15
  4. Step 4: Simplify right side
    14,192.83x = 161,054,598.59
  5. Step 5: Solve for x
    x = 161,054,598.59/14,192.83
  6. Step 6: Final answer
    x = 11,347.60

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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.