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Finding the Fourth Proportional to 14,715.84, 20,302.92 and 9,991.92

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Solution

The fourth proportional to 14,715.84, 20,302.92 and 9,991.92 is: 13,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715.84 : 20,302.92 = 9,991.92 : x
  2. Step 2: Convert to fraction form
    14,715.84/20,302.92 = 9,991.92/x
  3. Step 3: Cross multiply
    14,715.84x = 20,302.92 × 9,991.92
  4. Step 4: Simplify right side
    14,715.84x = 202,865,152.41
  5. Step 5: Solve for x
    x = 202,865,152.41/14,715.84
  6. Step 6: Final answer
    x = 13,785.50

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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.