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Finding the Fourth Proportional to 14,033.86, 19,364.94 and 7,901.62

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Solution

The fourth proportional to 14,033.86, 19,364.94 and 7,901.62 is: 10,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.86 : 19,364.94 = 7,901.62 : x
  2. Step 2: Convert to fraction form
    14,033.86/19,364.94 = 7,901.62/x
  3. Step 3: Cross multiply
    14,033.86x = 19,364.94 × 7,901.62
  4. Step 4: Simplify right side
    14,033.86x = 153,014,397.20
  5. Step 5: Solve for x
    x = 153,014,397.20/14,033.86
  6. Step 6: Final answer
    x = 10,903.23

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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.