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Finding the Fourth Proportional to 16,812.81, 23,194.71 and 10,005.47

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Solution

The fourth proportional to 16,812.81, 23,194.71 and 10,005.47 is: 13,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812.81 : 23,194.71 = 10,005.47 : x
  2. Step 2: Convert to fraction form
    16,812.81/23,194.71 = 10,005.47/x
  3. Step 3: Cross multiply
    16,812.81x = 23,194.71 × 10,005.47
  4. Step 4: Simplify right side
    16,812.81x = 232,073,975.06
  5. Step 5: Solve for x
    x = 232,073,975.06/16,812.81
  6. Step 6: Final answer
    x = 13,803.40

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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.