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Finding the Fourth Proportional to 15,159.02, 22,743.04 and 7,768.68

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Solution

The fourth proportional to 15,159.02, 22,743.04 and 7,768.68 is: 11,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,159.02 : 22,743.04 = 7,768.68 : x
  2. Step 2: Convert to fraction form
    15,159.02/22,743.04 = 7,768.68/x
  3. Step 3: Cross multiply
    15,159.02x = 22,743.04 × 7,768.68
  4. Step 4: Simplify right side
    15,159.02x = 176,683,399.99
  5. Step 5: Solve for x
    x = 176,683,399.99/15,159.02
  6. Step 6: Final answer
    x = 11,655.33

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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.