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Finding the Fourth Proportional to 24,802.07, 37,191.35 and 9,611.74

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Solution

The fourth proportional to 24,802.07, 37,191.35 and 9,611.74 is: 14,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.07 : 37,191.35 = 9,611.74 : x
  2. Step 2: Convert to fraction form
    24,802.07/37,191.35 = 9,611.74/x
  3. Step 3: Cross multiply
    24,802.07x = 37,191.35 × 9,611.74
  4. Step 4: Simplify right side
    24,802.07x = 357,473,656.97
  5. Step 5: Solve for x
    x = 357,473,656.97/24,802.07
  6. Step 6: Final answer
    x = 14,413.06

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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.