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Finding the Fourth Proportional to 14,070.84, 21,107.82 and 6,278.64

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Solution

The fourth proportional to 14,070.84, 21,107.82 and 6,278.64 is: 9,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.84 : 21,107.82 = 6,278.64 : x
  2. Step 2: Convert to fraction form
    14,070.84/21,107.82 = 6,278.64/x
  3. Step 3: Cross multiply
    14,070.84x = 21,107.82 × 6,278.64
  4. Step 4: Simplify right side
    14,070.84x = 132,528,402.96
  5. Step 5: Solve for x
    x = 132,528,402.96/14,070.84
  6. Step 6: Final answer
    x = 9,418.66

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