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Finding the Fourth Proportional to 16,077.60, 24,121.80 and 7,762.68

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Solution

The fourth proportional to 16,077.60, 24,121.80 and 7,762.68 is: 11,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.60 : 24,121.80 = 7,762.68 : x
  2. Step 2: Convert to fraction form
    16,077.60/24,121.80 = 7,762.68/x
  3. Step 3: Cross multiply
    16,077.60x = 24,121.80 × 7,762.68
  4. Step 4: Simplify right side
    16,077.60x = 187,249,814.42
  5. Step 5: Solve for x
    x = 187,249,814.42/16,077.60
  6. Step 6: Final answer
    x = 11,646.63

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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.