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Finding the Fourth Proportional to 17,586.84, 26,387.16 and 7,719.24

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Solution

The fourth proportional to 17,586.84, 26,387.16 and 7,719.24 is: 11,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.84 : 26,387.16 = 7,719.24 : x
  2. Step 2: Convert to fraction form
    17,586.84/26,387.16 = 7,719.24/x
  3. Step 3: Cross multiply
    17,586.84x = 26,387.16 × 7,719.24
  4. Step 4: Simplify right side
    17,586.84x = 203,688,820.96
  5. Step 5: Solve for x
    x = 203,688,820.96/17,586.84
  6. Step 6: Final answer
    x = 11,581.89

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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.