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Finding the Fourth Proportional to 14,419.13, 21,623.49 and 5,056.74

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Solution

The fourth proportional to 14,419.13, 21,623.49 and 5,056.74 is: 7,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.13 : 21,623.49 = 5,056.74 : x
  2. Step 2: Convert to fraction form
    14,419.13/21,623.49 = 5,056.74/x
  3. Step 3: Cross multiply
    14,419.13x = 21,623.49 × 5,056.74
  4. Step 4: Simplify right side
    14,419.13x = 109,344,366.82
  5. Step 5: Solve for x
    x = 109,344,366.82/14,419.13
  6. Step 6: Final answer
    x = 7,583.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.