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Finding the Fourth Proportional to 24,756.90, 37,140.67 and 9,965.83

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Solution

The fourth proportional to 24,756.90, 37,140.67 and 9,965.83 is: 14,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.90 : 37,140.67 = 9,965.83 : x
  2. Step 2: Convert to fraction form
    24,756.90/37,140.67 = 9,965.83/x
  3. Step 3: Cross multiply
    24,756.90x = 37,140.67 × 9,965.83
  4. Step 4: Simplify right side
    24,756.90x = 370,137,559.43
  5. Step 5: Solve for x
    x = 370,137,559.43/24,756.90
  6. Step 6: Final answer
    x = 14,950.89

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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.