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Finding the Fourth Proportional to 14,500.56, 21,751.20 and 7,111.20

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Solution

The fourth proportional to 14,500.56, 21,751.20 and 7,111.20 is: 10,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.56 : 21,751.20 = 7,111.20 : x
  2. Step 2: Convert to fraction form
    14,500.56/21,751.20 = 7,111.20/x
  3. Step 3: Cross multiply
    14,500.56x = 21,751.20 × 7,111.20
  4. Step 4: Simplify right side
    14,500.56x = 154,677,133.44
  5. Step 5: Solve for x
    x = 154,677,133.44/14,500.56
  6. Step 6: Final answer
    x = 10,666.98

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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.