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Finding the Fourth Proportional to 17,413.54, 24,030 and 9,455.56

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Solution

The fourth proportional to 17,413.54, 24,030 and 9,455.56 is: 13,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.54 : 24,030 = 9,455.56 : x
  2. Step 2: Convert to fraction form
    17,413.54/24,030 = 9,455.56/x
  3. Step 3: Cross multiply
    17,413.54x = 24,030 × 9,455.56
  4. Step 4: Simplify right side
    17,413.54x = 227,217,106.80
  5. Step 5: Solve for x
    x = 227,217,106.80/17,413.54
  6. Step 6: Final answer
    x = 13,048.30

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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.