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Finding the Fourth Proportional to 14,322.76, 19,766.28 and 9,534.44

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Solution

The fourth proportional to 14,322.76, 19,766.28 and 9,534.44 is: 13,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.76 : 19,766.28 = 9,534.44 : x
  2. Step 2: Convert to fraction form
    14,322.76/19,766.28 = 9,534.44/x
  3. Step 3: Cross multiply
    14,322.76x = 19,766.28 × 9,534.44
  4. Step 4: Simplify right side
    14,322.76x = 188,460,410.68
  5. Step 5: Solve for x
    x = 188,460,410.68/14,322.76
  6. Step 6: Final answer
    x = 13,158.11

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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.