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Finding the Fourth Proportional to 14,110.19, 19,472.06 and 7,822.56

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Solution

The fourth proportional to 14,110.19, 19,472.06 and 7,822.56 is: 10,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.19 : 19,472.06 = 7,822.56 : x
  2. Step 2: Convert to fraction form
    14,110.19/19,472.06 = 7,822.56/x
  3. Step 3: Cross multiply
    14,110.19x = 19,472.06 × 7,822.56
  4. Step 4: Simplify right side
    14,110.19x = 152,321,357.67
  5. Step 5: Solve for x
    x = 152,321,357.67/14,110.19
  6. Step 6: Final answer
    x = 10,795.13

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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.