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Finding the Fourth Proportional to 17,684.70, 24,400.47 and 11,389.50

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Solution

The fourth proportional to 17,684.70, 24,400.47 and 11,389.50 is: 15,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.70 : 24,400.47 = 11,389.50 : x
  2. Step 2: Convert to fraction form
    17,684.70/24,400.47 = 11,389.50/x
  3. Step 3: Cross multiply
    17,684.70x = 24,400.47 × 11,389.50
  4. Step 4: Simplify right side
    17,684.70x = 277,909,153.07
  5. Step 5: Solve for x
    x = 277,909,153.07/17,684.70
  6. Step 6: Final answer
    x = 15,714.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.