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Finding the Fourth Proportional to 17,878.32, 26,827.20 and 7,497.36

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Solution

The fourth proportional to 17,878.32, 26,827.20 and 7,497.36 is: 11,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.32 : 26,827.20 = 7,497.36 : x
  2. Step 2: Convert to fraction form
    17,878.32/26,827.20 = 7,497.36/x
  3. Step 3: Cross multiply
    17,878.32x = 26,827.20 × 7,497.36
  4. Step 4: Simplify right side
    17,878.32x = 201,133,176.19
  5. Step 5: Solve for x
    x = 201,133,176.19/17,878.32
  6. Step 6: Final answer
    x = 11,250.12

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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.