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Finding the Fourth Proportional to 14,470.86, 19,963.05 and 9,368.03

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Solution

The fourth proportional to 14,470.86, 19,963.05 and 9,368.03 is: 12,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.86 : 19,963.05 = 9,368.03 : x
  2. Step 2: Convert to fraction form
    14,470.86/19,963.05 = 9,368.03/x
  3. Step 3: Cross multiply
    14,470.86x = 19,963.05 × 9,368.03
  4. Step 4: Simplify right side
    14,470.86x = 187,014,351.48
  5. Step 5: Solve for x
    x = 187,014,351.48/14,470.86
  6. Step 6: Final answer
    x = 12,923.51

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Why These Related Problems?

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