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Finding the Fourth Proportional to 14,213.28, 19,614.43 and 7,840.10

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Solution

The fourth proportional to 14,213.28, 19,614.43 and 7,840.10 is: 10,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.28 : 19,614.43 = 7,840.10 : x
  2. Step 2: Convert to fraction form
    14,213.28/19,614.43 = 7,840.10/x
  3. Step 3: Cross multiply
    14,213.28x = 19,614.43 × 7,840.10
  4. Step 4: Simplify right side
    14,213.28x = 153,779,092.64
  5. Step 5: Solve for x
    x = 153,779,092.64/14,213.28
  6. Step 6: Final answer
    x = 10,819.40

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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.