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Finding the Fourth Proportional to 25,133.64, 37,700.44 and 6,413.68

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Solution

The fourth proportional to 25,133.64, 37,700.44 and 6,413.68 is: 9,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,133.64 : 37,700.44 = 6,413.68 : x
  2. Step 2: Convert to fraction form
    25,133.64/37,700.44 = 6,413.68/x
  3. Step 3: Cross multiply
    25,133.64x = 37,700.44 × 6,413.68
  4. Step 4: Simplify right side
    25,133.64x = 241,798,561.36
  5. Step 5: Solve for x
    x = 241,798,561.36/25,133.64
  6. Step 6: Final answer
    x = 9,620.51

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