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Finding the Fourth Proportional to 25,458.84, 35,133.40 and 14,128.38

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Solution

The fourth proportional to 25,458.84, 35,133.40 and 14,128.38 is: 19,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458.84 : 35,133.40 = 14,128.38 : x
  2. Step 2: Convert to fraction form
    25,458.84/35,133.40 = 14,128.38/x
  3. Step 3: Cross multiply
    25,458.84x = 35,133.40 × 14,128.38
  4. Step 4: Simplify right side
    25,458.84x = 496,378,025.89
  5. Step 5: Solve for x
    x = 496,378,025.89/25,458.84
  6. Step 6: Final answer
    x = 19,497.28

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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.