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Finding the Fourth Proportional to 14,563.34, 21,842.22 and 4,700.24

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Solution

The fourth proportional to 14,563.34, 21,842.22 and 4,700.24 is: 7,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.34 : 21,842.22 = 4,700.24 : x
  2. Step 2: Convert to fraction form
    14,563.34/21,842.22 = 4,700.24/x
  3. Step 3: Cross multiply
    14,563.34x = 21,842.22 × 4,700.24
  4. Step 4: Simplify right side
    14,563.34x = 102,663,676.13
  5. Step 5: Solve for x
    x = 102,663,676.13/14,563.34
  6. Step 6: Final answer
    x = 7,049.46

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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.