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Finding the Fourth Proportional to 14,506.92, 21,760.74 and 4,647.24

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Solution

The fourth proportional to 14,506.92, 21,760.74 and 4,647.24 is: 6,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.92 : 21,760.74 = 4,647.24 : x
  2. Step 2: Convert to fraction form
    14,506.92/21,760.74 = 4,647.24/x
  3. Step 3: Cross multiply
    14,506.92x = 21,760.74 × 4,647.24
  4. Step 4: Simplify right side
    14,506.92x = 101,127,381.36
  5. Step 5: Solve for x
    x = 101,127,381.36/14,506.92
  6. Step 6: Final answer
    x = 6,970.98

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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.