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Finding the Fourth Proportional to 16,065.96, 24,095.70 and 4,378.20

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Solution

The fourth proportional to 16,065.96, 24,095.70 and 4,378.20 is: 6,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.96 : 24,095.70 = 4,378.20 : x
  2. Step 2: Convert to fraction form
    16,065.96/24,095.70 = 4,378.20/x
  3. Step 3: Cross multiply
    16,065.96x = 24,095.70 × 4,378.20
  4. Step 4: Simplify right side
    16,065.96x = 105,495,793.74
  5. Step 5: Solve for x
    x = 105,495,793.74/16,065.96
  6. Step 6: Final answer
    x = 6,566.42

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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.