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Finding the Fourth Proportional to 14,110.42, 19,473 and 7,822.36

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Solution

The fourth proportional to 14,110.42, 19,473 and 7,822.36 is: 10,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.42 : 19,473 = 7,822.36 : x
  2. Step 2: Convert to fraction form
    14,110.42/19,473 = 7,822.36/x
  3. Step 3: Cross multiply
    14,110.42x = 19,473 × 7,822.36
  4. Step 4: Simplify right side
    14,110.42x = 152,324,816.28
  5. Step 5: Solve for x
    x = 152,324,816.28/14,110.42
  6. Step 6: Final answer
    x = 10,795.20

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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.