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Finding the Fourth Proportional to 25,803.38, 35,606.85 and 14,472.02

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Solution

The fourth proportional to 25,803.38, 35,606.85 and 14,472.02 is: 19,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.38 : 35,606.85 = 14,472.02 : x
  2. Step 2: Convert to fraction form
    25,803.38/35,606.85 = 14,472.02/x
  3. Step 3: Cross multiply
    25,803.38x = 35,606.85 × 14,472.02
  4. Step 4: Simplify right side
    25,803.38x = 515,303,045.34
  5. Step 5: Solve for x
    x = 515,303,045.34/25,803.38
  6. Step 6: Final answer
    x = 19,970.37

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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.