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Finding the Fourth Proportional to 16,275.59, 24,405.32 and 5,180.84

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Solution

The fourth proportional to 16,275.59, 24,405.32 and 5,180.84 is: 7,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.59 : 24,405.32 = 5,180.84 : x
  2. Step 2: Convert to fraction form
    16,275.59/24,405.32 = 5,180.84/x
  3. Step 3: Cross multiply
    16,275.59x = 24,405.32 × 5,180.84
  4. Step 4: Simplify right side
    16,275.59x = 126,440,038.41
  5. Step 5: Solve for x
    x = 126,440,038.41/16,275.59
  6. Step 6: Final answer
    x = 7,768.69

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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.