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Finding the Fourth Proportional to 14,264.88, 19,684.35 and 8,214.81

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Solution

The fourth proportional to 14,264.88, 19,684.35 and 8,214.81 is: 11,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.88 : 19,684.35 = 8,214.81 : x
  2. Step 2: Convert to fraction form
    14,264.88/19,684.35 = 8,214.81/x
  3. Step 3: Cross multiply
    14,264.88x = 19,684.35 × 8,214.81
  4. Step 4: Simplify right side
    14,264.88x = 161,703,195.22
  5. Step 5: Solve for x
    x = 161,703,195.22/14,264.88
  6. Step 6: Final answer
    x = 11,335.76

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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.