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Finding the Fourth Proportional to 16,948.61, 25,413.09 and 6,419.45

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Solution

The fourth proportional to 16,948.61, 25,413.09 and 6,419.45 is: 9,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948.61 : 25,413.09 = 6,419.45 : x
  2. Step 2: Convert to fraction form
    16,948.61/25,413.09 = 6,419.45/x
  3. Step 3: Cross multiply
    16,948.61x = 25,413.09 × 6,419.45
  4. Step 4: Simplify right side
    16,948.61x = 163,138,060.60
  5. Step 5: Solve for x
    x = 163,138,060.60/16,948.61
  6. Step 6: Final answer
    x = 9,625.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.