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Finding the Fourth Proportional to 14,643.36, 21,969.09 and 4,783.23

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Solution

The fourth proportional to 14,643.36, 21,969.09 and 4,783.23 is: 7,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.36 : 21,969.09 = 4,783.23 : x
  2. Step 2: Convert to fraction form
    14,643.36/21,969.09 = 4,783.23/x
  3. Step 3: Cross multiply
    14,643.36x = 21,969.09 × 4,783.23
  4. Step 4: Simplify right side
    14,643.36x = 105,083,210.36
  5. Step 5: Solve for x
    x = 105,083,210.36/14,643.36
  6. Step 6: Final answer
    x = 7,176.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.