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Finding the Fourth Proportional to 21,477.64, 32,208.74 and 7,433.86

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Solution

The fourth proportional to 21,477.64, 32,208.74 and 7,433.86 is: 11,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.64 : 32,208.74 = 7,433.86 : x
  2. Step 2: Convert to fraction form
    21,477.64/32,208.74 = 7,433.86/x
  3. Step 3: Cross multiply
    21,477.64x = 32,208.74 × 7,433.86
  4. Step 4: Simplify right side
    21,477.64x = 239,435,263.94
  5. Step 5: Solve for x
    x = 239,435,263.94/21,477.64
  6. Step 6: Final answer
    x = 11,148.12

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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.