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Finding the Fourth Proportional to 18,232, 27,345.56 and 7,130.96

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Solution

The fourth proportional to 18,232, 27,345.56 and 7,130.96 is: 10,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232 : 27,345.56 = 7,130.96 : x
  2. Step 2: Convert to fraction form
    18,232/27,345.56 = 7,130.96/x
  3. Step 3: Cross multiply
    18,232x = 27,345.56 × 7,130.96
  4. Step 4: Simplify right side
    18,232x = 195,000,094.54
  5. Step 5: Solve for x
    x = 195,000,094.54/18,232
  6. Step 6: Final answer
    x = 10,695.49

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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.