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Finding the Fourth Proportional to 14,472, 19,971.36 and 8,184.24

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Solution

The fourth proportional to 14,472, 19,971.36 and 8,184.24 is: 11,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472 : 19,971.36 = 8,184.24 : x
  2. Step 2: Convert to fraction form
    14,472/19,971.36 = 8,184.24/x
  3. Step 3: Cross multiply
    14,472x = 19,971.36 × 8,184.24
  4. Step 4: Simplify right side
    14,472x = 163,450,403.37
  5. Step 5: Solve for x
    x = 163,450,403.37/14,472
  6. Step 6: Final answer
    x = 11,294.25

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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.