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Finding the Fourth Proportional to 14,598.64, 20,152.83 and 9,563.08

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Solution

The fourth proportional to 14,598.64, 20,152.83 and 9,563.08 is: 13,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.64 : 20,152.83 = 9,563.08 : x
  2. Step 2: Convert to fraction form
    14,598.64/20,152.83 = 9,563.08/x
  3. Step 3: Cross multiply
    14,598.64x = 20,152.83 × 9,563.08
  4. Step 4: Simplify right side
    14,598.64x = 192,723,125.52
  5. Step 5: Solve for x
    x = 192,723,125.52/14,598.64
  6. Step 6: Final answer
    x = 13,201.44

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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.