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Finding the Fourth Proportional to 15,888, 23,840.64 and 7,680

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Solution

The fourth proportional to 15,888, 23,840.64 and 7,680 is: 11,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888 : 23,840.64 = 7,680 : x
  2. Step 2: Convert to fraction form
    15,888/23,840.64 = 7,680/x
  3. Step 3: Cross multiply
    15,888x = 23,840.64 × 7,680
  4. Step 4: Simplify right side
    15,888x = 183,096,115.20
  5. Step 5: Solve for x
    x = 183,096,115.20/15,888
  6. Step 6: Final answer
    x = 11,524.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.