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Finding the Fourth Proportional to 25,478.96, 38,203.85 and 10,675.40

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Solution

The fourth proportional to 25,478.96, 38,203.85 and 10,675.40 is: 16,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.96 : 38,203.85 = 10,675.40 : x
  2. Step 2: Convert to fraction form
    25,478.96/38,203.85 = 10,675.40/x
  3. Step 3: Cross multiply
    25,478.96x = 38,203.85 × 10,675.40
  4. Step 4: Simplify right side
    25,478.96x = 407,841,135.89
  5. Step 5: Solve for x
    x = 407,841,135.89/25,478.96
  6. Step 6: Final answer
    x = 16,006.98

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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.