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Finding the Fourth Proportional to 14,193.34, 19,584.39 and 7,904.50

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Solution

The fourth proportional to 14,193.34, 19,584.39 and 7,904.50 is: 10,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.34 : 19,584.39 = 7,904.50 : x
  2. Step 2: Convert to fraction form
    14,193.34/19,584.39 = 7,904.50/x
  3. Step 3: Cross multiply
    14,193.34x = 19,584.39 × 7,904.50
  4. Step 4: Simplify right side
    14,193.34x = 154,804,810.76
  5. Step 5: Solve for x
    x = 154,804,810.76/14,193.34
  6. Step 6: Final answer
    x = 10,906.86

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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.