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Finding the Fourth Proportional to 25,792, 35,592.96 and 14,016

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Solution

The fourth proportional to 25,792, 35,592.96 and 14,016 is: 19,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792 : 35,592.96 = 14,016 : x
  2. Step 2: Convert to fraction form
    25,792/35,592.96 = 14,016/x
  3. Step 3: Cross multiply
    25,792x = 35,592.96 × 14,016
  4. Step 4: Simplify right side
    25,792x = 498,870,927.36
  5. Step 5: Solve for x
    x = 498,870,927.36/25,792
  6. Step 6: Final answer
    x = 19,342.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.