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Finding the Fourth Proportional to 19,322.69, 28,989.56 and 9,464.85

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Solution

The fourth proportional to 19,322.69, 28,989.56 and 9,464.85 is: 14,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.69 : 28,989.56 = 9,464.85 : x
  2. Step 2: Convert to fraction form
    19,322.69/28,989.56 = 9,464.85/x
  3. Step 3: Cross multiply
    19,322.69x = 28,989.56 × 9,464.85
  4. Step 4: Simplify right side
    19,322.69x = 274,381,860.63
  5. Step 5: Solve for x
    x = 274,381,860.63/19,322.69
  6. Step 6: Final answer
    x = 14,199.99

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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.