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Finding the Fourth Proportional to 23,210.52, 32,031.25 and 13,138.77

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Solution

The fourth proportional to 23,210.52, 32,031.25 and 13,138.77 is: 18,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.52 : 32,031.25 = 13,138.77 : x
  2. Step 2: Convert to fraction form
    23,210.52/32,031.25 = 13,138.77/x
  3. Step 3: Cross multiply
    23,210.52x = 32,031.25 × 13,138.77
  4. Step 4: Simplify right side
    23,210.52x = 420,851,313.83
  5. Step 5: Solve for x
    x = 420,851,313.83/23,210.52
  6. Step 6: Final answer
    x = 18,131.92

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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.