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Finding the Fourth Proportional to 22,969.08, 31,700.80 and 14,021.80

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Solution

The fourth proportional to 22,969.08, 31,700.80 and 14,021.80 is: 19,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.08 : 31,700.80 = 14,021.80 : x
  2. Step 2: Convert to fraction form
    22,969.08/31,700.80 = 14,021.80/x
  3. Step 3: Cross multiply
    22,969.08x = 31,700.80 × 14,021.80
  4. Step 4: Simplify right side
    22,969.08x = 444,502,277.44
  5. Step 5: Solve for x
    x = 444,502,277.44/22,969.08
  6. Step 6: Final answer
    x = 19,352.20

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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.