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Finding the Fourth Proportional to 14,772.96, 22,152.06 and 5,406.30

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Solution

The fourth proportional to 14,772.96, 22,152.06 and 5,406.30 is: 8,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.96 : 22,152.06 = 5,406.30 : x
  2. Step 2: Convert to fraction form
    14,772.96/22,152.06 = 5,406.30/x
  3. Step 3: Cross multiply
    14,772.96x = 22,152.06 × 5,406.30
  4. Step 4: Simplify right side
    14,772.96x = 119,760,681.98
  5. Step 5: Solve for x
    x = 119,760,681.98/14,772.96
  6. Step 6: Final answer
    x = 8,106.75

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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.