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Finding the Fourth Proportional to 25,698.74, 35,465.09 and 14,213.81

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Solution

The fourth proportional to 25,698.74, 35,465.09 and 14,213.81 is: 19,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.74 : 35,465.09 = 14,213.81 : x
  2. Step 2: Convert to fraction form
    25,698.74/35,465.09 = 14,213.81/x
  3. Step 3: Cross multiply
    25,698.74x = 35,465.09 × 14,213.81
  4. Step 4: Simplify right side
    25,698.74x = 504,094,068.49
  5. Step 5: Solve for x
    x = 504,094,068.49/25,698.74
  6. Step 6: Final answer
    x = 19,615.52

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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.