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Finding the Fourth Proportional to 16,405.62, 24,602.35 and 6,541.94

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Solution

The fourth proportional to 16,405.62, 24,602.35 and 6,541.94 is: 9,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.62 : 24,602.35 = 6,541.94 : x
  2. Step 2: Convert to fraction form
    16,405.62/24,602.35 = 6,541.94/x
  3. Step 3: Cross multiply
    16,405.62x = 24,602.35 × 6,541.94
  4. Step 4: Simplify right side
    16,405.62x = 160,947,097.56
  5. Step 5: Solve for x
    x = 160,947,097.56/16,405.62
  6. Step 6: Final answer
    x = 9,810.49

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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.