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Finding the Fourth Proportional to 21,509.62, 32,264.38 and 14,112.32

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Solution

The fourth proportional to 21,509.62, 32,264.38 and 14,112.32 is: 21,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.62 : 32,264.38 = 14,112.32 : x
  2. Step 2: Convert to fraction form
    21,509.62/32,264.38 = 14,112.32/x
  3. Step 3: Cross multiply
    21,509.62x = 32,264.38 × 14,112.32
  4. Step 4: Simplify right side
    21,509.62x = 455,325,255.16
  5. Step 5: Solve for x
    x = 455,325,255.16/21,509.62
  6. Step 6: Final answer
    x = 21,168.45

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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.