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Finding the Fourth Proportional to 21,152.64, 31,728.80 and 8,840.64

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Solution

The fourth proportional to 21,152.64, 31,728.80 and 8,840.64 is: 13,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.64 : 31,728.80 = 8,840.64 : x
  2. Step 2: Convert to fraction form
    21,152.64/31,728.80 = 8,840.64/x
  3. Step 3: Cross multiply
    21,152.64x = 31,728.80 × 8,840.64
  4. Step 4: Simplify right side
    21,152.64x = 280,502,898.43
  5. Step 5: Solve for x
    x = 280,502,898.43/21,152.64
  6. Step 6: Final answer
    x = 13,260.89

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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.