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Finding the Fourth Proportional to 16,509.63, 24,761.10 and 4,664.46

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Solution

The fourth proportional to 16,509.63, 24,761.10 and 4,664.46 is: 6,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.63 : 24,761.10 = 4,664.46 : x
  2. Step 2: Convert to fraction form
    16,509.63/24,761.10 = 4,664.46/x
  3. Step 3: Cross multiply
    16,509.63x = 24,761.10 × 4,664.46
  4. Step 4: Simplify right side
    16,509.63x = 115,497,160.51
  5. Step 5: Solve for x
    x = 115,497,160.51/16,509.63
  6. Step 6: Final answer
    x = 6,995.74

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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.