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Finding the Fourth Proportional to 13,030.67, 19,546 and 5,237.66

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Solution

The fourth proportional to 13,030.67, 19,546 and 5,237.66 is: 7,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.67 : 19,546 = 5,237.66 : x
  2. Step 2: Convert to fraction form
    13,030.67/19,546 = 5,237.66/x
  3. Step 3: Cross multiply
    13,030.67x = 19,546 × 5,237.66
  4. Step 4: Simplify right side
    13,030.67x = 102,375,204.63
  5. Step 5: Solve for x
    x = 102,375,204.63/13,030.67
  6. Step 6: Final answer
    x = 7,856.48

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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.