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Finding the Fourth Proportional to 12,801.32, 19,204.56 and 5,010

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Solution

The fourth proportional to 12,801.32, 19,204.56 and 5,010 is: 7,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.32 : 19,204.56 = 5,010 : x
  2. Step 2: Convert to fraction form
    12,801.32/19,204.56 = 5,010/x
  3. Step 3: Cross multiply
    12,801.32x = 19,204.56 × 5,010
  4. Step 4: Simplify right side
    12,801.32x = 96,214,845.60
  5. Step 5: Solve for x
    x = 96,214,845.60/12,801.32
  6. Step 6: Final answer
    x = 7,516.01

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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.