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Finding the Fourth Proportional to 18,335.05, 27,502.56 and 6,497.50

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Solution

The fourth proportional to 18,335.05, 27,502.56 and 6,497.50 is: 9,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,335.05 : 27,502.56 = 6,497.50 : x
  2. Step 2: Convert to fraction form
    18,335.05/27,502.56 = 6,497.50/x
  3. Step 3: Cross multiply
    18,335.05x = 27,502.56 × 6,497.50
  4. Step 4: Simplify right side
    18,335.05x = 178,697,883.60
  5. Step 5: Solve for x
    x = 178,697,883.60/18,335.05
  6. Step 6: Final answer
    x = 9,746.24

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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.