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Finding the Fourth Proportional to 16,684.80, 25,026.56 and 7,457.28

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Solution

The fourth proportional to 16,684.80, 25,026.56 and 7,457.28 is: 11,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.80 : 25,026.56 = 7,457.28 : x
  2. Step 2: Convert to fraction form
    16,684.80/25,026.56 = 7,457.28/x
  3. Step 3: Cross multiply
    16,684.80x = 25,026.56 × 7,457.28
  4. Step 4: Simplify right side
    16,684.80x = 186,630,065.36
  5. Step 5: Solve for x
    x = 186,630,065.36/16,684.80
  6. Step 6: Final answer
    x = 11,185.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.