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Finding the Fourth Proportional to 15,836.21, 21,854.16 and 8,762.57

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Solution

The fourth proportional to 15,836.21, 21,854.16 and 8,762.57 is: 12,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.21 : 21,854.16 = 8,762.57 : x
  2. Step 2: Convert to fraction form
    15,836.21/21,854.16 = 8,762.57/x
  3. Step 3: Cross multiply
    15,836.21x = 21,854.16 × 8,762.57
  4. Step 4: Simplify right side
    15,836.21x = 191,498,453.71
  5. Step 5: Solve for x
    x = 191,498,453.71/15,836.21
  6. Step 6: Final answer
    x = 12,092.45

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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.