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Finding the Fourth Proportional to 15,007.02, 20,708.10 and 8,290.77

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Solution

The fourth proportional to 15,007.02, 20,708.10 and 8,290.77 is: 11,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,007.02 : 20,708.10 = 8,290.77 : x
  2. Step 2: Convert to fraction form
    15,007.02/20,708.10 = 8,290.77/x
  3. Step 3: Cross multiply
    15,007.02x = 20,708.10 × 8,290.77
  4. Step 4: Simplify right side
    15,007.02x = 171,686,094.24
  5. Step 5: Solve for x
    x = 171,686,094.24/15,007.02
  6. Step 6: Final answer
    x = 11,440.39

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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.