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Finding the Fourth Proportional to 14,775.73, 22,157.01 and 5,413.28

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Solution

The fourth proportional to 14,775.73, 22,157.01 and 5,413.28 is: 8,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.73 : 22,157.01 = 5,413.28 : x
  2. Step 2: Convert to fraction form
    14,775.73/22,157.01 = 5,413.28/x
  3. Step 3: Cross multiply
    14,775.73x = 22,157.01 × 5,413.28
  4. Step 4: Simplify right side
    14,775.73x = 119,941,988.31
  5. Step 5: Solve for x
    x = 119,941,988.31/14,775.73
  6. Step 6: Final answer
    x = 8,117.50

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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.