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Finding the Fourth Proportional to 14,218.02, 21,333.18 and 7,636.50

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Solution

The fourth proportional to 14,218.02, 21,333.18 and 7,636.50 is: 11,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.02 : 21,333.18 = 7,636.50 : x
  2. Step 2: Convert to fraction form
    14,218.02/21,333.18 = 7,636.50/x
  3. Step 3: Cross multiply
    14,218.02x = 21,333.18 × 7,636.50
  4. Step 4: Simplify right side
    14,218.02x = 162,910,829.07
  5. Step 5: Solve for x
    x = 162,910,829.07/14,218.02
  6. Step 6: Final answer
    x = 11,458.05

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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.