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Finding the Fourth Proportional to 16,463.84, 22,723.80 and 10,494.32

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Solution

The fourth proportional to 16,463.84, 22,723.80 and 10,494.32 is: 14,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.84 : 22,723.80 = 10,494.32 : x
  2. Step 2: Convert to fraction form
    16,463.84/22,723.80 = 10,494.32/x
  3. Step 3: Cross multiply
    16,463.84x = 22,723.80 × 10,494.32
  4. Step 4: Simplify right side
    16,463.84x = 238,470,828.82
  5. Step 5: Solve for x
    x = 238,470,828.82/16,463.84
  6. Step 6: Final answer
    x = 14,484.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.