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Finding the Fourth Proportional to 23,509.49, 32,411.06 and 16,783.43

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Solution

The fourth proportional to 23,509.49, 32,411.06 and 16,783.43 is: 23,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.49 : 32,411.06 = 16,783.43 : x
  2. Step 2: Convert to fraction form
    23,509.49/32,411.06 = 16,783.43/x
  3. Step 3: Cross multiply
    23,509.49x = 32,411.06 × 16,783.43
  4. Step 4: Simplify right side
    23,509.49x = 543,968,712.06
  5. Step 5: Solve for x
    x = 543,968,712.06/23,509.49
  6. Step 6: Final answer
    x = 23,138.26

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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.