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Finding the Fourth Proportional to 13,952.68, 19,267.20 and 10,409.74

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Solution

The fourth proportional to 13,952.68, 19,267.20 and 10,409.74 is: 14,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.68 : 19,267.20 = 10,409.74 : x
  2. Step 2: Convert to fraction form
    13,952.68/19,267.20 = 10,409.74/x
  3. Step 3: Cross multiply
    13,952.68x = 19,267.20 × 10,409.74
  4. Step 4: Simplify right side
    13,952.68x = 200,566,542.53
  5. Step 5: Solve for x
    x = 200,566,542.53/13,952.68
  6. Step 6: Final answer
    x = 14,374.77

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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.