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Finding the Fourth Proportional to 23,005.68, 31,747.68 and 13,069.68

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Solution

The fourth proportional to 23,005.68, 31,747.68 and 13,069.68 is: 18,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.68 : 31,747.68 = 13,069.68 : x
  2. Step 2: Convert to fraction form
    23,005.68/31,747.68 = 13,069.68/x
  3. Step 3: Cross multiply
    23,005.68x = 31,747.68 × 13,069.68
  4. Step 4: Simplify right side
    23,005.68x = 414,932,018.34
  5. Step 5: Solve for x
    x = 414,932,018.34/23,005.68
  6. Step 6: Final answer
    x = 18,036.07

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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.