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Finding the Fourth Proportional to 13,012.50, 19,518.06 and 3,653.18

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Solution

The fourth proportional to 13,012.50, 19,518.06 and 3,653.18 is: 5,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.50 : 19,518.06 = 3,653.18 : x
  2. Step 2: Convert to fraction form
    13,012.50/19,518.06 = 3,653.18/x
  3. Step 3: Cross multiply
    13,012.50x = 19,518.06 × 3,653.18
  4. Step 4: Simplify right side
    13,012.50x = 71,302,986.43
  5. Step 5: Solve for x
    x = 71,302,986.43/13,012.50
  6. Step 6: Final answer
    x = 5,479.58

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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.