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Finding the Fourth Proportional to 27,477.64, 37,899.12 and 17,407.72

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Solution

The fourth proportional to 27,477.64, 37,899.12 and 17,407.72 is: 24,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.64 : 37,899.12 = 17,407.72 : x
  2. Step 2: Convert to fraction form
    27,477.64/37,899.12 = 17,407.72/x
  3. Step 3: Cross multiply
    27,477.64x = 37,899.12 × 17,407.72
  4. Step 4: Simplify right side
    27,477.64x = 659,737,269.21
  5. Step 5: Solve for x
    x = 659,737,269.21/27,477.64
  6. Step 6: Final answer
    x = 24,009.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.