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Finding the Fourth Proportional to 13,315.34, 19,957.62 and 5,514.50

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Solution

The fourth proportional to 13,315.34, 19,957.62 and 5,514.50 is: 8,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.34 : 19,957.62 = 5,514.50 : x
  2. Step 2: Convert to fraction form
    13,315.34/19,957.62 = 5,514.50/x
  3. Step 3: Cross multiply
    13,315.34x = 19,957.62 × 5,514.50
  4. Step 4: Simplify right side
    13,315.34x = 110,056,295.49
  5. Step 5: Solve for x
    x = 110,056,295.49/13,315.34
  6. Step 6: Final answer
    x = 8,265.38

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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.