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Finding the Fourth Proportional to 27,776.64, 38,237.76 and 21,477.12

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Solution

The fourth proportional to 27,776.64, 38,237.76 and 21,477.12 is: 29,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.64 : 38,237.76 = 21,477.12 : x
  2. Step 2: Convert to fraction form
    27,776.64/38,237.76 = 21,477.12/x
  3. Step 3: Cross multiply
    27,776.64x = 38,237.76 × 21,477.12
  4. Step 4: Simplify right side
    27,776.64x = 821,236,960.05
  5. Step 5: Solve for x
    x = 821,236,960.05/27,776.64
  6. Step 6: Final answer
    x = 29,565.74

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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.