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Finding the Fourth Proportional to 25,684.24, 35,443.80 and 14,353

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Solution

The fourth proportional to 25,684.24, 35,443.80 and 14,353 is: 19,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684.24 : 35,443.80 = 14,353 : x
  2. Step 2: Convert to fraction form
    25,684.24/35,443.80 = 14,353/x
  3. Step 3: Cross multiply
    25,684.24x = 35,443.80 × 14,353
  4. Step 4: Simplify right side
    25,684.24x = 508,724,861.40
  5. Step 5: Solve for x
    x = 508,724,861.40/25,684.24
  6. Step 6: Final answer
    x = 19,806.89

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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.