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Finding the Fourth Proportional to 14,563.23, 21,840.16 and 4,700.22

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Solution

The fourth proportional to 14,563.23, 21,840.16 and 4,700.22 is: 7,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.23 : 21,840.16 = 4,700.22 : x
  2. Step 2: Convert to fraction form
    14,563.23/21,840.16 = 4,700.22/x
  3. Step 3: Cross multiply
    14,563.23x = 21,840.16 × 4,700.22
  4. Step 4: Simplify right side
    14,563.23x = 102,653,556.84
  5. Step 5: Solve for x
    x = 102,653,556.84/14,563.23
  6. Step 6: Final answer
    x = 7,048.82

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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.