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Finding the Fourth Proportional to 13,598.33, 20,393.54 and 5,700.63

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Solution

The fourth proportional to 13,598.33, 20,393.54 and 5,700.63 is: 8,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.33 : 20,393.54 = 5,700.63 : x
  2. Step 2: Convert to fraction form
    13,598.33/20,393.54 = 5,700.63/x
  3. Step 3: Cross multiply
    13,598.33x = 20,393.54 × 5,700.63
  4. Step 4: Simplify right side
    13,598.33x = 116,256,025.93
  5. Step 5: Solve for x
    x = 116,256,025.93/13,598.33
  6. Step 6: Final answer
    x = 8,549.29

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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.