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Finding the Fourth Proportional to 25,746.38, 35,529.73 and 14,415.98

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Solution

The fourth proportional to 25,746.38, 35,529.73 and 14,415.98 is: 19,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,746.38 : 35,529.73 = 14,415.98 : x
  2. Step 2: Convert to fraction form
    25,746.38/35,529.73 = 14,415.98/x
  3. Step 3: Cross multiply
    25,746.38x = 35,529.73 × 14,415.98
  4. Step 4: Simplify right side
    25,746.38x = 512,195,877.09
  5. Step 5: Solve for x
    x = 512,195,877.09/25,746.38
  6. Step 6: Final answer
    x = 19,893.90

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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.