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Finding the Fourth Proportional to 14,352.46, 21,497.47 and 6,941.30

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Solution

The fourth proportional to 14,352.46, 21,497.47 and 6,941.30 is: 10,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.46 : 21,497.47 = 6,941.30 : x
  2. Step 2: Convert to fraction form
    14,352.46/21,497.47 = 6,941.30/x
  3. Step 3: Cross multiply
    14,352.46x = 21,497.47 × 6,941.30
  4. Step 4: Simplify right side
    14,352.46x = 149,220,263.67
  5. Step 5: Solve for x
    x = 149,220,263.67/14,352.46
  6. Step 6: Final answer
    x = 10,396.84

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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.