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Finding the Fourth Proportional to 19,643.85, 29,455.58 and 9,644.20

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Solution

The fourth proportional to 19,643.85, 29,455.58 and 9,644.20 is: 14,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.85 : 29,455.58 = 9,644.20 : x
  2. Step 2: Convert to fraction form
    19,643.85/29,455.58 = 9,644.20/x
  3. Step 3: Cross multiply
    19,643.85x = 29,455.58 × 9,644.20
  4. Step 4: Simplify right side
    19,643.85x = 284,075,455.11
  5. Step 5: Solve for x
    x = 284,075,455.11/19,643.85
  6. Step 6: Final answer
    x = 14,461.29

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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.