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Finding the Fourth Proportional to 17,955, 26,932.50 and 5,643

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Solution

The fourth proportional to 17,955, 26,932.50 and 5,643 is: 8,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955 : 26,932.50 = 5,643 : x
  2. Step 2: Convert to fraction form
    17,955/26,932.50 = 5,643/x
  3. Step 3: Cross multiply
    17,955x = 26,932.50 × 5,643
  4. Step 4: Simplify right side
    17,955x = 151,980,097.50
  5. Step 5: Solve for x
    x = 151,980,097.50/17,955
  6. Step 6: Final answer
    x = 8,464.50

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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.