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Finding the Fourth Proportional to 14,099.43, 19,456.29 and 8,437.53

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Solution

The fourth proportional to 14,099.43, 19,456.29 and 8,437.53 is: 11,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.43 : 19,456.29 = 8,437.53 : x
  2. Step 2: Convert to fraction form
    14,099.43/19,456.29 = 8,437.53/x
  3. Step 3: Cross multiply
    14,099.43x = 19,456.29 × 8,437.53
  4. Step 4: Simplify right side
    14,099.43x = 164,163,030.56
  5. Step 5: Solve for x
    x = 164,163,030.56/14,099.43
  6. Step 6: Final answer
    x = 11,643.24

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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.