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Finding the Fourth Proportional to 15,775.88, 23,663.30 and 6,413.12

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Solution

The fourth proportional to 15,775.88, 23,663.30 and 6,413.12 is: 9,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.88 : 23,663.30 = 6,413.12 : x
  2. Step 2: Convert to fraction form
    15,775.88/23,663.30 = 6,413.12/x
  3. Step 3: Cross multiply
    15,775.88x = 23,663.30 × 6,413.12
  4. Step 4: Simplify right side
    15,775.88x = 151,755,582.50
  5. Step 5: Solve for x
    x = 151,755,582.50/15,775.88
  6. Step 6: Final answer
    x = 9,619.47

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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.