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Finding the Fourth Proportional to 15,090.91, 20,829.76 and 9,123.03

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Solution

The fourth proportional to 15,090.91, 20,829.76 and 9,123.03 is: 12,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.91 : 20,829.76 = 9,123.03 : x
  2. Step 2: Convert to fraction form
    15,090.91/20,829.76 = 9,123.03/x
  3. Step 3: Cross multiply
    15,090.91x = 20,829.76 × 9,123.03
  4. Step 4: Simplify right side
    15,090.91x = 190,030,502.57
  5. Step 5: Solve for x
    x = 190,030,502.57/15,090.91
  6. Step 6: Final answer
    x = 12,592.38

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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.