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Finding the Fourth Proportional to 13,862.66, 19,123.36 and 9,384.84

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Solution

The fourth proportional to 13,862.66, 19,123.36 and 9,384.84 is: 12,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.66 : 19,123.36 = 9,384.84 : x
  2. Step 2: Convert to fraction form
    13,862.66/19,123.36 = 9,384.84/x
  3. Step 3: Cross multiply
    13,862.66x = 19,123.36 × 9,384.84
  4. Step 4: Simplify right side
    13,862.66x = 179,469,650.40
  5. Step 5: Solve for x
    x = 179,469,650.40/13,862.66
  6. Step 6: Final answer
    x = 12,946.27

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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.