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Finding the Fourth Proportional to 17,655, 26,482.56 and 5,343

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Solution

The fourth proportional to 17,655, 26,482.56 and 5,343 is: 8,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655 : 26,482.56 = 5,343 : x
  2. Step 2: Convert to fraction form
    17,655/26,482.56 = 5,343/x
  3. Step 3: Cross multiply
    17,655x = 26,482.56 × 5,343
  4. Step 4: Simplify right side
    17,655x = 141,496,318.08
  5. Step 5: Solve for x
    x = 141,496,318.08/17,655
  6. Step 6: Final answer
    x = 8,014.52

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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.