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Finding the Fourth Proportional to 25,783.63, 38,675.47 and 7,063.82

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Solution

The fourth proportional to 25,783.63, 38,675.47 and 7,063.82 is: 10,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.63 : 38,675.47 = 7,063.82 : x
  2. Step 2: Convert to fraction form
    25,783.63/38,675.47 = 7,063.82/x
  3. Step 3: Cross multiply
    25,783.63x = 38,675.47 × 7,063.82
  4. Step 4: Simplify right side
    25,783.63x = 273,196,723.29
  5. Step 5: Solve for x
    x = 273,196,723.29/25,783.63
  6. Step 6: Final answer
    x = 10,595.74

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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.