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Finding the Fourth Proportional to 18,009.50, 27,002.10 and 9,237.20

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Solution

The fourth proportional to 18,009.50, 27,002.10 and 9,237.20 is: 13,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,009.50 : 27,002.10 = 9,237.20 : x
  2. Step 2: Convert to fraction form
    18,009.50/27,002.10 = 9,237.20/x
  3. Step 3: Cross multiply
    18,009.50x = 27,002.10 × 9,237.20
  4. Step 4: Simplify right side
    18,009.50x = 249,423,798.12
  5. Step 5: Solve for x
    x = 249,423,798.12/18,009.50
  6. Step 6: Final answer
    x = 13,849.57

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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.