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Finding the Fourth Proportional to 16,039.69, 24,069.56 and 7,720.58

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Solution

The fourth proportional to 16,039.69, 24,069.56 and 7,720.58 is: 11,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.69 : 24,069.56 = 7,720.58 : x
  2. Step 2: Convert to fraction form
    16,039.69/24,069.56 = 7,720.58/x
  3. Step 3: Cross multiply
    16,039.69x = 24,069.56 × 7,720.58
  4. Step 4: Simplify right side
    16,039.69x = 185,830,985.12
  5. Step 5: Solve for x
    x = 185,830,985.12/16,039.69
  6. Step 6: Final answer
    x = 11,585.70

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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.