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Finding the Fourth Proportional to 14,563.58, 20,094.50 and 9,266.18

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Solution

The fourth proportional to 14,563.58, 20,094.50 and 9,266.18 is: 12,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.58 : 20,094.50 = 9,266.18 : x
  2. Step 2: Convert to fraction form
    14,563.58/20,094.50 = 9,266.18/x
  3. Step 3: Cross multiply
    14,563.58x = 20,094.50 × 9,266.18
  4. Step 4: Simplify right side
    14,563.58x = 186,199,254.01
  5. Step 5: Solve for x
    x = 186,199,254.01/14,563.58
  6. Step 6: Final answer
    x = 12,785.27

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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.