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Finding the Fourth Proportional to 14,307.95, 21,467 and 6,409.84

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Solution

The fourth proportional to 14,307.95, 21,467 and 6,409.84 is: 9,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.95 : 21,467 = 6,409.84 : x
  2. Step 2: Convert to fraction form
    14,307.95/21,467 = 6,409.84/x
  3. Step 3: Cross multiply
    14,307.95x = 21,467 × 6,409.84
  4. Step 4: Simplify right side
    14,307.95x = 137,600,035.28
  5. Step 5: Solve for x
    x = 137,600,035.28/14,307.95
  6. Step 6: Final answer
    x = 9,617.04

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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.