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Finding the Fourth Proportional to 14,024.13, 19,353.70 and 7,736.91

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Solution

The fourth proportional to 14,024.13, 19,353.70 and 7,736.91 is: 10,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.13 : 19,353.70 = 7,736.91 : x
  2. Step 2: Convert to fraction form
    14,024.13/19,353.70 = 7,736.91/x
  3. Step 3: Cross multiply
    14,024.13x = 19,353.70 × 7,736.91
  4. Step 4: Simplify right side
    14,024.13x = 149,737,835.07
  5. Step 5: Solve for x
    x = 149,737,835.07/14,024.13
  6. Step 6: Final answer
    x = 10,677.16

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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.