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Finding the Fourth Proportional to 14,127.98, 19,496.43 and 7,840.22

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Solution

The fourth proportional to 14,127.98, 19,496.43 and 7,840.22 is: 10,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.98 : 19,496.43 = 7,840.22 : x
  2. Step 2: Convert to fraction form
    14,127.98/19,496.43 = 7,840.22/x
  3. Step 3: Cross multiply
    14,127.98x = 19,496.43 × 7,840.22
  4. Step 4: Simplify right side
    14,127.98x = 152,856,300.41
  5. Step 5: Solve for x
    x = 152,856,300.41/14,127.98
  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.