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Finding the Fourth Proportional to 25,425, 38,101.16 and 11,176.40

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Solution

The fourth proportional to 25,425, 38,101.16 and 11,176.40 is: 16,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425 : 38,101.16 = 11,176.40 : x
  2. Step 2: Convert to fraction form
    25,425/38,101.16 = 11,176.40/x
  3. Step 3: Cross multiply
    25,425x = 38,101.16 × 11,176.40
  4. Step 4: Simplify right side
    25,425x = 425,833,804.62
  5. Step 5: Solve for x
    x = 425,833,804.62/25,425
  6. Step 6: Final answer
    x = 16,748.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.