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Finding the Fourth Proportional to 17,567.08, 26,320.86 and 10,627

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Solution

The fourth proportional to 17,567.08, 26,320.86 and 10,627 is: 15,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.08 : 26,320.86 = 10,627 : x
  2. Step 2: Convert to fraction form
    17,567.08/26,320.86 = 10,627/x
  3. Step 3: Cross multiply
    17,567.08x = 26,320.86 × 10,627
  4. Step 4: Simplify right side
    17,567.08x = 279,711,779.22
  5. Step 5: Solve for x
    x = 279,711,779.22/17,567.08
  6. Step 6: Final answer
    x = 15,922.50

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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.