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Finding the Fourth Proportional to 24,988.10, 37,477.83 and 9,405.86

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Solution

The fourth proportional to 24,988.10, 37,477.83 and 9,405.86 is: 14,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,988.10 : 37,477.83 = 9,405.86 : x
  2. Step 2: Convert to fraction form
    24,988.10/37,477.83 = 9,405.86/x
  3. Step 3: Cross multiply
    24,988.10x = 37,477.83 × 9,405.86
  4. Step 4: Simplify right side
    24,988.10x = 352,511,222.08
  5. Step 5: Solve for x
    x = 352,511,222.08/24,988.10
  6. Step 6: Final answer
    x = 14,107.16

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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.