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Finding the Fourth Proportional to 14,050.74, 21,056.06 and 9,633

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Solution

The fourth proportional to 14,050.74, 21,056.06 and 9,633 is: 14,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050.74 : 21,056.06 = 9,633 : x
  2. Step 2: Convert to fraction form
    14,050.74/21,056.06 = 9,633/x
  3. Step 3: Cross multiply
    14,050.74x = 21,056.06 × 9,633
  4. Step 4: Simplify right side
    14,050.74x = 202,833,025.98
  5. Step 5: Solve for x
    x = 202,833,025.98/14,050.74
  6. Step 6: Final answer
    x = 14,435.75

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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.