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Finding the Fourth Proportional to 24,813.64, 37,210.74 and 9,226.36

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Solution

The fourth proportional to 24,813.64, 37,210.74 and 9,226.36 is: 13,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.64 : 37,210.74 = 9,226.36 : x
  2. Step 2: Convert to fraction form
    24,813.64/37,210.74 = 9,226.36/x
  3. Step 3: Cross multiply
    24,813.64x = 37,210.74 × 9,226.36
  4. Step 4: Simplify right side
    24,813.64x = 343,319,683.11
  5. Step 5: Solve for x
    x = 343,319,683.11/24,813.64
  6. Step 6: Final answer
    x = 13,835.93

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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.