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Finding the Fourth Proportional to 14,302.17, 19,738.08 and 8,335.71

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Solution

The fourth proportional to 14,302.17, 19,738.08 and 8,335.71 is: 11,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.17 : 19,738.08 = 8,335.71 : x
  2. Step 2: Convert to fraction form
    14,302.17/19,738.08 = 8,335.71/x
  3. Step 3: Cross multiply
    14,302.17x = 19,738.08 × 8,335.71
  4. Step 4: Simplify right side
    14,302.17x = 164,530,910.84
  5. Step 5: Solve for x
    x = 164,530,910.84/14,302.17
  6. Step 6: Final answer
    x = 11,503.91

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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.