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Finding the Fourth Proportional to 18,496.93, 27,746.79 and 5,349.40

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Solution

The fourth proportional to 18,496.93, 27,746.79 and 5,349.40 is: 8,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.93 : 27,746.79 = 5,349.40 : x
  2. Step 2: Convert to fraction form
    18,496.93/27,746.79 = 5,349.40/x
  3. Step 3: Cross multiply
    18,496.93x = 27,746.79 × 5,349.40
  4. Step 4: Simplify right side
    18,496.93x = 148,428,678.43
  5. Step 5: Solve for x
    x = 148,428,678.43/18,496.93
  6. Step 6: Final answer
    x = 8,024.50

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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.