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Finding the Fourth Proportional to 14,307.84, 21,474.72 and 9,616.32

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Solution

The fourth proportional to 14,307.84, 21,474.72 and 9,616.32 is: 14,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.84 : 21,474.72 = 9,616.32 : x
  2. Step 2: Convert to fraction form
    14,307.84/21,474.72 = 9,616.32/x
  3. Step 3: Cross multiply
    14,307.84x = 21,474.72 × 9,616.32
  4. Step 4: Simplify right side
    14,307.84x = 206,507,779.43
  5. Step 5: Solve for x
    x = 206,507,779.43/14,307.84
  6. Step 6: Final answer
    x = 14,433.19

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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.