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Finding the Fourth Proportional to 15,856.83, 21,881.61 and 8,782.74

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Solution

The fourth proportional to 15,856.83, 21,881.61 and 8,782.74 is: 12,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.83 : 21,881.61 = 8,782.74 : x
  2. Step 2: Convert to fraction form
    15,856.83/21,881.61 = 8,782.74/x
  3. Step 3: Cross multiply
    15,856.83x = 21,881.61 × 8,782.74
  4. Step 4: Simplify right side
    15,856.83x = 192,180,491.41
  5. Step 5: Solve for x
    x = 192,180,491.41/15,856.83
  6. Step 6: Final answer
    x = 12,119.73

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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.