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Finding the Fourth Proportional to 15,502.76, 21,393.76 and 8,429.20

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Solution

The fourth proportional to 15,502.76, 21,393.76 and 8,429.20 is: 11,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.76 : 21,393.76 = 8,429.20 : x
  2. Step 2: Convert to fraction form
    15,502.76/21,393.76 = 8,429.20/x
  3. Step 3: Cross multiply
    15,502.76x = 21,393.76 × 8,429.20
  4. Step 4: Simplify right side
    15,502.76x = 180,332,281.79
  5. Step 5: Solve for x
    x = 180,332,281.79/15,502.76
  6. Step 6: Final answer
    x = 11,632.27

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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.