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Finding the Fourth Proportional to 14,438.13, 19,924.68 and 7,814.13

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Solution

The fourth proportional to 14,438.13, 19,924.68 and 7,814.13 is: 10,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.13 : 19,924.68 = 7,814.13 : x
  2. Step 2: Convert to fraction form
    14,438.13/19,924.68 = 7,814.13/x
  3. Step 3: Cross multiply
    14,438.13x = 19,924.68 × 7,814.13
  4. Step 4: Simplify right side
    14,438.13x = 155,693,901.03
  5. Step 5: Solve for x
    x = 155,693,901.03/14,438.13
  6. Step 6: Final answer
    x = 10,783.53

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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.