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Finding the Fourth Proportional to 38,400.64, 52,994.88 and 21,635.20

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Solution

The fourth proportional to 38,400.64, 52,994.88 and 21,635.20 is: 29,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.64 : 52,994.88 = 21,635.20 : x
  2. Step 2: Convert to fraction form
    38,400.64/52,994.88 = 21,635.20/x
  3. Step 3: Cross multiply
    38,400.64x = 52,994.88 × 21,635.20
  4. Step 4: Simplify right side
    38,400.64x = 1,146,554,827.78
  5. Step 5: Solve for x
    x = 1,146,554,827.78/38,400.64
  6. Step 6: Final answer
    x = 29,857.70

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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.