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Finding the Fourth Proportional to 25,408, 35,064.12 and 14,795.92

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Solution

The fourth proportional to 25,408, 35,064.12 and 14,795.92 is: 20,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408 : 35,064.12 = 14,795.92 : x
  2. Step 2: Convert to fraction form
    25,408/35,064.12 = 14,795.92/x
  3. Step 3: Cross multiply
    25,408x = 35,064.12 × 14,795.92
  4. Step 4: Simplify right side
    25,408x = 518,805,914.39
  5. Step 5: Solve for x
    x = 518,805,914.39/25,408
  6. Step 6: Final answer
    x = 20,419.00

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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.