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Finding the Fourth Proportional to 17,706.48, 26,543.31 and 8,931.21

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Solution

The fourth proportional to 17,706.48, 26,543.31 and 8,931.21 is: 13,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.48 : 26,543.31 = 8,931.21 : x
  2. Step 2: Convert to fraction form
    17,706.48/26,543.31 = 8,931.21/x
  3. Step 3: Cross multiply
    17,706.48x = 26,543.31 × 8,931.21
  4. Step 4: Simplify right side
    17,706.48x = 237,063,875.71
  5. Step 5: Solve for x
    x = 237,063,875.71/17,706.48
  6. Step 6: Final answer
    x = 13,388.54

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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.