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Finding the Fourth Proportional to 13,018.50, 19,515.78 and 4,696.56

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Solution

The fourth proportional to 13,018.50, 19,515.78 and 4,696.56 is: 7,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.50 : 19,515.78 = 4,696.56 : x
  2. Step 2: Convert to fraction form
    13,018.50/19,515.78 = 4,696.56/x
  3. Step 3: Cross multiply
    13,018.50x = 19,515.78 × 4,696.56
  4. Step 4: Simplify right side
    13,018.50x = 91,657,031.72
  5. Step 5: Solve for x
    x = 91,657,031.72/13,018.50
  6. Step 6: Final answer
    x = 7,040.52

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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.