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Finding the Fourth Proportional to 14,344.29, 19,795.14 and 8,056.71

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Solution

The fourth proportional to 14,344.29, 19,795.14 and 8,056.71 is: 11,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.29 : 19,795.14 = 8,056.71 : x
  2. Step 2: Convert to fraction form
    14,344.29/19,795.14 = 8,056.71/x
  3. Step 3: Cross multiply
    14,344.29x = 19,795.14 × 8,056.71
  4. Step 4: Simplify right side
    14,344.29x = 159,483,702.39
  5. Step 5: Solve for x
    x = 159,483,702.39/14,344.29
  6. Step 6: Final answer
    x = 11,118.27

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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.