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Finding the Fourth Proportional to 23,202.51, 32,019.01 and 13,130.77

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Solution

The fourth proportional to 23,202.51, 32,019.01 and 13,130.77 is: 18,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.51 : 32,019.01 = 13,130.77 : x
  2. Step 2: Convert to fraction form
    23,202.51/32,019.01 = 13,130.77/x
  3. Step 3: Cross multiply
    23,202.51x = 32,019.01 × 13,130.77
  4. Step 4: Simplify right side
    23,202.51x = 420,434,255.94
  5. Step 5: Solve for x
    x = 420,434,255.94/23,202.51
  6. Step 6: Final answer
    x = 18,120.21

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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.