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Finding the Fourth Proportional to 14,133.96, 21,197.70 and 6,345

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Solution

The fourth proportional to 14,133.96, 21,197.70 and 6,345 is: 9,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.96 : 21,197.70 = 6,345 : x
  2. Step 2: Convert to fraction form
    14,133.96/21,197.70 = 6,345/x
  3. Step 3: Cross multiply
    14,133.96x = 21,197.70 × 6,345
  4. Step 4: Simplify right side
    14,133.96x = 134,499,406.50
  5. Step 5: Solve for x
    x = 134,499,406.50/14,133.96
  6. Step 6: Final answer
    x = 9,516.05

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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.