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Finding the Fourth Proportional to 28,784.64, 43,176.96 and 16,464

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Solution

The fourth proportional to 28,784.64, 43,176.96 and 16,464 is: 24,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,784.64 : 43,176.96 = 16,464 : x
  2. Step 2: Convert to fraction form
    28,784.64/43,176.96 = 16,464/x
  3. Step 3: Cross multiply
    28,784.64x = 43,176.96 × 16,464
  4. Step 4: Simplify right side
    28,784.64x = 710,865,469.44
  5. Step 5: Solve for x
    x = 710,865,469.44/28,784.64
  6. Step 6: Final answer
    x = 24,696

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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.