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Finding the Fourth Proportional to 14,368.03, 19,824 and 8,401.16

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Solution

The fourth proportional to 14,368.03, 19,824 and 8,401.16 is: 11,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.03 : 19,824 = 8,401.16 : x
  2. Step 2: Convert to fraction form
    14,368.03/19,824 = 8,401.16/x
  3. Step 3: Cross multiply
    14,368.03x = 19,824 × 8,401.16
  4. Step 4: Simplify right side
    14,368.03x = 166,544,595.84
  5. Step 5: Solve for x
    x = 166,544,595.84/14,368.03
  6. Step 6: Final answer
    x = 11,591.34

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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.