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Finding the Fourth Proportional to 16,718.58, 23,071.64 and 9,164.84

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Solution

The fourth proportional to 16,718.58, 23,071.64 and 9,164.84 is: 12,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,718.58 : 23,071.64 = 9,164.84 : x
  2. Step 2: Convert to fraction form
    16,718.58/23,071.64 = 9,164.84/x
  3. Step 3: Cross multiply
    16,718.58x = 23,071.64 × 9,164.84
  4. Step 4: Simplify right side
    16,718.58x = 211,447,727.96
  5. Step 5: Solve for x
    x = 211,447,727.96/16,718.58
  6. Step 6: Final answer
    x = 12,647.47

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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.