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Finding the Fourth Proportional to 14,154.22, 19,534.05 and 7,867

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Solution

The fourth proportional to 14,154.22, 19,534.05 and 7,867 is: 10,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.22 : 19,534.05 = 7,867 : x
  2. Step 2: Convert to fraction form
    14,154.22/19,534.05 = 7,867/x
  3. Step 3: Cross multiply
    14,154.22x = 19,534.05 × 7,867
  4. Step 4: Simplify right side
    14,154.22x = 153,674,371.35
  5. Step 5: Solve for x
    x = 153,674,371.35/14,154.22
  6. Step 6: Final answer
    x = 10,857.14

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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.