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Finding the Fourth Proportional to 14,302.13, 19,736.93 and 8,713.13

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Solution

The fourth proportional to 14,302.13, 19,736.93 and 8,713.13 is: 12,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.13 : 19,736.93 = 8,713.13 : x
  2. Step 2: Convert to fraction form
    14,302.13/19,736.93 = 8,713.13/x
  3. Step 3: Cross multiply
    14,302.13x = 19,736.93 × 8,713.13
  4. Step 4: Simplify right side
    14,302.13x = 171,970,359.99
  5. Step 5: Solve for x
    x = 171,970,359.99/14,302.13
  6. Step 6: Final answer
    x = 12,024.11

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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.