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Finding the Fourth Proportional to 15,005.16, 20,707.16 and 8,290.80

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Solution

The fourth proportional to 15,005.16, 20,707.16 and 8,290.80 is: 11,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.16 : 20,707.16 = 8,290.80 : x
  2. Step 2: Convert to fraction form
    15,005.16/20,707.16 = 8,290.80/x
  3. Step 3: Cross multiply
    15,005.16x = 20,707.16 × 8,290.80
  4. Step 4: Simplify right side
    15,005.16x = 171,678,880.67
  5. Step 5: Solve for x
    x = 171,678,880.67/15,005.16
  6. Step 6: Final answer
    x = 11,441.32

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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.