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Finding the Fourth Proportional to 16,065.40, 24,097.41 and 4,378.62

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Solution

The fourth proportional to 16,065.40, 24,097.41 and 4,378.62 is: 6,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.40 : 24,097.41 = 4,378.62 : x
  2. Step 2: Convert to fraction form
    16,065.40/24,097.41 = 4,378.62/x
  3. Step 3: Cross multiply
    16,065.40x = 24,097.41 × 4,378.62
  4. Step 4: Simplify right side
    16,065.40x = 105,513,401.37
  5. Step 5: Solve for x
    x = 105,513,401.37/16,065.40
  6. Step 6: Final answer
    x = 6,567.74

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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.