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Finding the Fourth Proportional to 25,408.16, 35,062.80 and 14,077.28

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Solution

The fourth proportional to 25,408.16, 35,062.80 and 14,077.28 is: 19,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.16 : 35,062.80 = 14,077.28 : x
  2. Step 2: Convert to fraction form
    25,408.16/35,062.80 = 14,077.28/x
  3. Step 3: Cross multiply
    25,408.16x = 35,062.80 × 14,077.28
  4. Step 4: Simplify right side
    25,408.16x = 493,588,853.18
  5. Step 5: Solve for x
    x = 493,588,853.18/25,408.16
  6. Step 6: Final answer
    x = 19,426.39

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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.