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Finding the Fourth Proportional to 26,032.44, 35,924.90 and 14,702.40

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Solution

The fourth proportional to 26,032.44, 35,924.90 and 14,702.40 is: 20,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,032.44 : 35,924.90 = 14,702.40 : x
  2. Step 2: Convert to fraction form
    26,032.44/35,924.90 = 14,702.40/x
  3. Step 3: Cross multiply
    26,032.44x = 35,924.90 × 14,702.40
  4. Step 4: Simplify right side
    26,032.44x = 528,182,249.76
  5. Step 5: Solve for x
    x = 528,182,249.76/26,032.44
  6. Step 6: Final answer
    x = 20,289.39

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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.