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Finding the Fourth Proportional to 24,647.95, 36,971.35 and 6,878.14

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Solution

The fourth proportional to 24,647.95, 36,971.35 and 6,878.14 is: 10,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.95 : 36,971.35 = 6,878.14 : x
  2. Step 2: Convert to fraction form
    24,647.95/36,971.35 = 6,878.14/x
  3. Step 3: Cross multiply
    24,647.95x = 36,971.35 × 6,878.14
  4. Step 4: Simplify right side
    24,647.95x = 254,294,121.29
  5. Step 5: Solve for x
    x = 254,294,121.29/24,647.95
  6. Step 6: Final answer
    x = 10,317.05

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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.