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Finding the Fourth Proportional to 13,838.50, 19,117.92 and 9,069.76

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Solution

The fourth proportional to 13,838.50, 19,117.92 and 9,069.76 is: 12,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.50 : 19,117.92 = 9,069.76 : x
  2. Step 2: Convert to fraction form
    13,838.50/19,117.92 = 9,069.76/x
  3. Step 3: Cross multiply
    13,838.50x = 19,117.92 × 9,069.76
  4. Step 4: Simplify right side
    13,838.50x = 173,394,946.10
  5. Step 5: Solve for x
    x = 173,394,946.10/13,838.50
  6. Step 6: Final answer
    x = 12,529.89

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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.