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Finding the Fourth Proportional to 23,055.96, 31,810.80 and 12,983.80

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Solution

The fourth proportional to 23,055.96, 31,810.80 and 12,983.80 is: 17,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055.96 : 31,810.80 = 12,983.80 : x
  2. Step 2: Convert to fraction form
    23,055.96/31,810.80 = 12,983.80/x
  3. Step 3: Cross multiply
    23,055.96x = 31,810.80 × 12,983.80
  4. Step 4: Simplify right side
    23,055.96x = 413,025,065.04
  5. Step 5: Solve for x
    x = 413,025,065.04/23,055.96
  6. Step 6: Final answer
    x = 17,914.03

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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.