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Finding the Fourth Proportional to 25,984.32, 35,858.20 and 14,047.68

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Solution

The fourth proportional to 25,984.32, 35,858.20 and 14,047.68 is: 19,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984.32 : 35,858.20 = 14,047.68 : x
  2. Step 2: Convert to fraction form
    25,984.32/35,858.20 = 14,047.68/x
  3. Step 3: Cross multiply
    25,984.32x = 35,858.20 × 14,047.68
  4. Step 4: Simplify right side
    25,984.32x = 503,724,518.98
  5. Step 5: Solve for x
    x = 503,724,518.98/25,984.32
  6. Step 6: Final answer
    x = 19,385.71

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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.