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Finding the Fourth Proportional to 25,595.34, 38,366.71 and 9,796.67

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Solution

The fourth proportional to 25,595.34, 38,366.71 and 9,796.67 is: 14,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,595.34 : 38,366.71 = 9,796.67 : x
  2. Step 2: Convert to fraction form
    25,595.34/38,366.71 = 9,796.67/x
  3. Step 3: Cross multiply
    25,595.34x = 38,366.71 × 9,796.67
  4. Step 4: Simplify right side
    25,595.34x = 375,865,756.04
  5. Step 5: Solve for x
    x = 375,865,756.04/25,595.34
  6. Step 6: Final answer
    x = 14,684.93

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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.