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Finding the Fourth Proportional to 23,480.93, 32,407 and 14,531.32

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Solution

The fourth proportional to 23,480.93, 32,407 and 14,531.32 is: 20,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.93 : 32,407 = 14,531.32 : x
  2. Step 2: Convert to fraction form
    23,480.93/32,407 = 14,531.32/x
  3. Step 3: Cross multiply
    23,480.93x = 32,407 × 14,531.32
  4. Step 4: Simplify right side
    23,480.93x = 470,916,325.21
  5. Step 5: Solve for x
    x = 470,916,325.21/23,480.93
  6. Step 6: Final answer
    x = 20,055.27

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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.