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Finding the Fourth Proportional to 13,946.50, 19,246.64 and 7,658.88

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Solution

The fourth proportional to 13,946.50, 19,246.64 and 7,658.88 is: 10,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.50 : 19,246.64 = 7,658.88 : x
  2. Step 2: Convert to fraction form
    13,946.50/19,246.64 = 7,658.88/x
  3. Step 3: Cross multiply
    13,946.50x = 19,246.64 × 7,658.88
  4. Step 4: Simplify right side
    13,946.50x = 147,407,706.16
  5. Step 5: Solve for x
    x = 147,407,706.16/13,946.50
  6. Step 6: Final answer
    x = 10,569.51

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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.