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Finding the Fourth Proportional to 23,230.64, 32,055.97 and 13,157.07

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Solution

The fourth proportional to 23,230.64, 32,055.97 and 13,157.07 is: 18,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.64 : 32,055.97 = 13,157.07 : x
  2. Step 2: Convert to fraction form
    23,230.64/32,055.97 = 13,157.07/x
  3. Step 3: Cross multiply
    23,230.64x = 32,055.97 × 13,157.07
  4. Step 4: Simplify right side
    23,230.64x = 421,762,641.21
  5. Step 5: Solve for x
    x = 421,762,641.21/23,230.64
  6. Step 6: Final answer
    x = 18,155.45

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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.