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Finding the Fourth Proportional to 14,277.10, 21,415.78 and 6,380

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Solution

The fourth proportional to 14,277.10, 21,415.78 and 6,380 is: 9,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.10 : 21,415.78 = 6,380 : x
  2. Step 2: Convert to fraction form
    14,277.10/21,415.78 = 6,380/x
  3. Step 3: Cross multiply
    14,277.10x = 21,415.78 × 6,380
  4. Step 4: Simplify right side
    14,277.10x = 136,632,676.40
  5. Step 5: Solve for x
    x = 136,632,676.40/14,277.10
  6. Step 6: Final answer
    x = 9,570.06

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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.