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Finding the Fourth Proportional to 15,033, 22,549.56 and 4,089

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Solution

The fourth proportional to 15,033, 22,549.56 and 4,089 is: 6,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033 : 22,549.56 = 4,089 : x
  2. Step 2: Convert to fraction form
    15,033/22,549.56 = 4,089/x
  3. Step 3: Cross multiply
    15,033x = 22,549.56 × 4,089
  4. Step 4: Simplify right side
    15,033x = 92,205,150.84
  5. Step 5: Solve for x
    x = 92,205,150.84/15,033
  6. Step 6: Final answer
    x = 6,133.52

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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.