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Finding the Fourth Proportional to 16,966, 23,413.12 and 10,342

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Solution

The fourth proportional to 16,966, 23,413.12 and 10,342 is: 14,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966 : 23,413.12 = 10,342 : x
  2. Step 2: Convert to fraction form
    16,966/23,413.12 = 10,342/x
  3. Step 3: Cross multiply
    16,966x = 23,413.12 × 10,342
  4. Step 4: Simplify right side
    16,966x = 242,138,487.04
  5. Step 5: Solve for x
    x = 242,138,487.04/16,966
  6. Step 6: Final answer
    x = 14,271.98

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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.