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Finding the Fourth Proportional to 21,416.74, 32,124.78 and 5,834.32

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Solution

The fourth proportional to 21,416.74, 32,124.78 and 5,834.32 is: 8,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.74 : 32,124.78 = 5,834.32 : x
  2. Step 2: Convert to fraction form
    21,416.74/32,124.78 = 5,834.32/x
  3. Step 3: Cross multiply
    21,416.74x = 32,124.78 × 5,834.32
  4. Step 4: Simplify right side
    21,416.74x = 187,426,246.45
  5. Step 5: Solve for x
    x = 187,426,246.45/21,416.74
  6. Step 6: Final answer
    x = 8,751.39

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1.5x scale

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.