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Finding the Fourth Proportional to 14,656.98, 21,985.17 and 3,563.73

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Solution

The fourth proportional to 14,656.98, 21,985.17 and 3,563.73 is: 5,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.98 : 21,985.17 = 3,563.73 : x
  2. Step 2: Convert to fraction form
    14,656.98/21,985.17 = 3,563.73/x
  3. Step 3: Cross multiply
    14,656.98x = 21,985.17 × 3,563.73
  4. Step 4: Simplify right side
    14,656.98x = 78,349,209.88
  5. Step 5: Solve for x
    x = 78,349,209.88/14,656.98
  6. Step 6: Final answer
    x = 5,345.52

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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.