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Finding the Fourth Proportional to 25,434, 35,102.16 and 14,256

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Solution

The fourth proportional to 25,434, 35,102.16 and 14,256 is: 19,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434 : 35,102.16 = 14,256 : x
  2. Step 2: Convert to fraction form
    25,434/35,102.16 = 14,256/x
  3. Step 3: Cross multiply
    25,434x = 35,102.16 × 14,256
  4. Step 4: Simplify right side
    25,434x = 500,416,392.96
  5. Step 5: Solve for x
    x = 500,416,392.96/25,434
  6. Step 6: Final answer
    x = 19,675.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.