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Finding the Fourth Proportional to 25,971.69, 35,842.80 and 14,642.22

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Solution

The fourth proportional to 25,971.69, 35,842.80 and 14,642.22 is: 20,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.69 : 35,842.80 = 14,642.22 : x
  2. Step 2: Convert to fraction form
    25,971.69/35,842.80 = 14,642.22/x
  3. Step 3: Cross multiply
    25,971.69x = 35,842.80 × 14,642.22
  4. Step 4: Simplify right side
    25,971.69x = 524,818,163.02
  5. Step 5: Solve for x
    x = 524,818,163.02/25,971.69
  6. Step 6: Final answer
    x = 20,207.32

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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.