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Finding the Fourth Proportional to 17,547.50, 26,321.52 and 5,235.50

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Solution

The fourth proportional to 17,547.50, 26,321.52 and 5,235.50 is: 7,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.50 : 26,321.52 = 5,235.50 : x
  2. Step 2: Convert to fraction form
    17,547.50/26,321.52 = 5,235.50/x
  3. Step 3: Cross multiply
    17,547.50x = 26,321.52 × 5,235.50
  4. Step 4: Simplify right side
    17,547.50x = 137,806,317.96
  5. Step 5: Solve for x
    x = 137,806,317.96/17,547.50
  6. Step 6: Final answer
    x = 7,853.33

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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.