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Finding the Fourth Proportional to 25,970.14, 35,841 and 14,641.84

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Solution

The fourth proportional to 25,970.14, 35,841 and 14,641.84 is: 20,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.14 : 35,841 = 14,641.84 : x
  2. Step 2: Convert to fraction form
    25,970.14/35,841 = 14,641.84/x
  3. Step 3: Cross multiply
    25,970.14x = 35,841 × 14,641.84
  4. Step 4: Simplify right side
    25,970.14x = 524,778,187.44
  5. Step 5: Solve for x
    x = 524,778,187.44/25,970.14
  6. Step 6: Final answer
    x = 20,206.98

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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.