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Finding the Fourth Proportional to 25,384.37, 35,031.89 and 14,056.17

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Solution

The fourth proportional to 25,384.37, 35,031.89 and 14,056.17 is: 19,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.37 : 35,031.89 = 14,056.17 : x
  2. Step 2: Convert to fraction form
    25,384.37/35,031.89 = 14,056.17/x
  3. Step 3: Cross multiply
    25,384.37x = 35,031.89 × 14,056.17
  4. Step 4: Simplify right side
    25,384.37x = 492,414,130.98
  5. Step 5: Solve for x
    x = 492,414,130.98/25,384.37
  6. Step 6: Final answer
    x = 19,398.32

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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.