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Finding the Fourth Proportional to 15,105.48, 20,849.84 and 9,137.53

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Solution

The fourth proportional to 15,105.48, 20,849.84 and 9,137.53 is: 12,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.48 : 20,849.84 = 9,137.53 : x
  2. Step 2: Convert to fraction form
    15,105.48/20,849.84 = 9,137.53/x
  3. Step 3: Cross multiply
    15,105.48x = 20,849.84 × 9,137.53
  4. Step 4: Simplify right side
    15,105.48x = 190,516,038.50
  5. Step 5: Solve for x
    x = 190,516,038.50/15,105.48
  6. Step 6: Final answer
    x = 12,612.38

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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.