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Finding the Fourth Proportional to 14,950.16, 20,632.16 and 8,235.78

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Solution

The fourth proportional to 14,950.16, 20,632.16 and 8,235.78 is: 11,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.16 : 20,632.16 = 8,235.78 : x
  2. Step 2: Convert to fraction form
    14,950.16/20,632.16 = 8,235.78/x
  3. Step 3: Cross multiply
    14,950.16x = 20,632.16 × 8,235.78
  4. Step 4: Simplify right side
    14,950.16x = 169,921,889.51
  5. Step 5: Solve for x
    x = 169,921,889.51/14,950.16
  6. Step 6: Final answer
    x = 11,365.89

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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.