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Finding the Fourth Proportional to 15,130.13, 20,879.57 and 8,506.13

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Solution

The fourth proportional to 15,130.13, 20,879.57 and 8,506.13 is: 11,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.13 : 20,879.57 = 8,506.13 : x
  2. Step 2: Convert to fraction form
    15,130.13/20,879.57 = 8,506.13/x
  3. Step 3: Cross multiply
    15,130.13x = 20,879.57 × 8,506.13
  4. Step 4: Simplify right side
    15,130.13x = 177,604,253.63
  5. Step 5: Solve for x
    x = 177,604,253.63/15,130.13
  6. Step 6: Final answer
    x = 11,738.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.