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Finding the Fourth Proportional to 25,406.64, 35,061.41 and 14,076.38

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Solution

The fourth proportional to 25,406.64, 35,061.41 and 14,076.38 is: 19,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.64 : 35,061.41 = 14,076.38 : x
  2. Step 2: Convert to fraction form
    25,406.64/35,061.41 = 14,076.38/x
  3. Step 3: Cross multiply
    25,406.64x = 35,061.41 × 14,076.38
  4. Step 4: Simplify right side
    25,406.64x = 493,537,747.77
  5. Step 5: Solve for x
    x = 493,537,747.77/25,406.64
  6. Step 6: Final answer
    x = 19,425.54

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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.