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Finding the Fourth Proportional to 18,118.96, 27,149.14 and 9,802.90

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Solution

The fourth proportional to 18,118.96, 27,149.14 and 9,802.90 is: 14,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,118.96 : 27,149.14 = 9,802.90 : x
  2. Step 2: Convert to fraction form
    18,118.96/27,149.14 = 9,802.90/x
  3. Step 3: Cross multiply
    18,118.96x = 27,149.14 × 9,802.90
  4. Step 4: Simplify right side
    18,118.96x = 266,140,304.51
  5. Step 5: Solve for x
    x = 266,140,304.51/18,118.96
  6. Step 6: Final answer
    x = 14,688.50

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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.