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Finding the Fourth Proportional to 18,223.99, 25,142.20 and 11,507.06

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Solution

The fourth proportional to 18,223.99, 25,142.20 and 11,507.06 is: 15,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.99 : 25,142.20 = 11,507.06 : x
  2. Step 2: Convert to fraction form
    18,223.99/25,142.20 = 11,507.06/x
  3. Step 3: Cross multiply
    18,223.99x = 25,142.20 × 11,507.06
  4. Step 4: Simplify right side
    18,223.99x = 289,312,838.02
  5. Step 5: Solve for x
    x = 289,312,838.02/18,223.99
  6. Step 6: Final answer
    x = 15,875.39

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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.