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Finding the Fourth Proportional to 25,471.64, 35,153.10 and 14,143.34

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Solution

The fourth proportional to 25,471.64, 35,153.10 and 14,143.34 is: 19,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.64 : 35,153.10 = 14,143.34 : x
  2. Step 2: Convert to fraction form
    25,471.64/35,153.10 = 14,143.34/x
  3. Step 3: Cross multiply
    25,471.64x = 35,153.10 × 14,143.34
  4. Step 4: Simplify right side
    25,471.64x = 497,182,333.24
  5. Step 5: Solve for x
    x = 497,182,333.24/25,471.64
  6. Step 6: Final answer
    x = 19,519.05

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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.