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Finding the Fourth Proportional to 13,010.74, 19,516.16 and 3,150

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Solution

The fourth proportional to 13,010.74, 19,516.16 and 3,150 is: 4,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.74 : 19,516.16 = 3,150 : x
  2. Step 2: Convert to fraction form
    13,010.74/19,516.16 = 3,150/x
  3. Step 3: Cross multiply
    13,010.74x = 19,516.16 × 3,150
  4. Step 4: Simplify right side
    13,010.74x = 61,475,888.25
  5. Step 5: Solve for x
    x = 61,475,888.25/13,010.74
  6. Step 6: Final answer
    x = 4,725.01

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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.