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Finding the Fourth Proportional to 25,815, 35,624.70 and 14,637

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Solution

The fourth proportional to 25,815, 35,624.70 and 14,637 is: 20,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815 : 35,624.70 = 14,637 : x
  2. Step 2: Convert to fraction form
    25,815/35,624.70 = 14,637/x
  3. Step 3: Cross multiply
    25,815x = 35,624.70 × 14,637
  4. Step 4: Simplify right side
    25,815x = 521,438,733.90
  5. Step 5: Solve for x
    x = 521,438,733.90/25,815
  6. Step 6: Final answer
    x = 20,199.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.