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Finding the Fourth Proportional to 14,852.72, 22,276.64 and 5,497.16

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Solution

The fourth proportional to 14,852.72, 22,276.64 and 5,497.16 is: 8,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.72 : 22,276.64 = 5,497.16 : x
  2. Step 2: Convert to fraction form
    14,852.72/22,276.64 = 5,497.16/x
  3. Step 3: Cross multiply
    14,852.72x = 22,276.64 × 5,497.16
  4. Step 4: Simplify right side
    14,852.72x = 122,458,254.34
  5. Step 5: Solve for x
    x = 122,458,254.34/14,852.72
  6. Step 6: Final answer
    x = 8,244.84

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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.