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Finding the Fourth Proportional to 13,821.71, 19,074.44 and 7,853.63

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Solution

The fourth proportional to 13,821.71, 19,074.44 and 7,853.63 is: 10,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.71 : 19,074.44 = 7,853.63 : x
  2. Step 2: Convert to fraction form
    13,821.71/19,074.44 = 7,853.63/x
  3. Step 3: Cross multiply
    13,821.71x = 19,074.44 × 7,853.63
  4. Step 4: Simplify right side
    13,821.71x = 149,803,518.48
  5. Step 5: Solve for x
    x = 149,803,518.48/13,821.71
  6. Step 6: Final answer
    x = 10,838.28

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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.