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Finding the Fourth Proportional to 17,416, 26,124 and 7,688

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Solution

The fourth proportional to 17,416, 26,124 and 7,688 is: 11,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416 : 26,124 = 7,688 : x
  2. Step 2: Convert to fraction form
    17,416/26,124 = 7,688/x
  3. Step 3: Cross multiply
    17,416x = 26,124 × 7,688
  4. Step 4: Simplify right side
    17,416x = 200,841,312
  5. Step 5: Solve for x
    x = 200,841,312/17,416
  6. Step 6: Final answer
    x = 11,532

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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.