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Finding the Fourth Proportional to 25,776.62, 38,653.98 and 9,140.84

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Solution

The fourth proportional to 25,776.62, 38,653.98 and 9,140.84 is: 13,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776.62 : 38,653.98 = 9,140.84 : x
  2. Step 2: Convert to fraction form
    25,776.62/38,653.98 = 9,140.84/x
  3. Step 3: Cross multiply
    25,776.62x = 38,653.98 × 9,140.84
  4. Step 4: Simplify right side
    25,776.62x = 353,329,653.27
  5. Step 5: Solve for x
    x = 353,329,653.27/25,776.62
  6. Step 6: Final answer
    x = 13,707.37

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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.