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Finding the Fourth Proportional to 14,206.92, 19,605.69 and 7,833.74

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Solution

The fourth proportional to 14,206.92, 19,605.69 and 7,833.74 is: 10,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.92 : 19,605.69 = 7,833.74 : x
  2. Step 2: Convert to fraction form
    14,206.92/19,605.69 = 7,833.74/x
  3. Step 3: Cross multiply
    14,206.92x = 19,605.69 × 7,833.74
  4. Step 4: Simplify right side
    14,206.92x = 153,585,838.81
  5. Step 5: Solve for x
    x = 153,585,838.81/14,206.92
  6. Step 6: Final answer
    x = 10,810.64

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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.