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Finding the Fourth Proportional to 14,464.98, 21,664.67 and 9,199.98

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Solution

The fourth proportional to 14,464.98, 21,664.67 and 9,199.98 is: 13,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.98 : 21,664.67 = 9,199.98 : x
  2. Step 2: Convert to fraction form
    14,464.98/21,664.67 = 9,199.98/x
  3. Step 3: Cross multiply
    14,464.98x = 21,664.67 × 9,199.98
  4. Step 4: Simplify right side
    14,464.98x = 199,314,484.71
  5. Step 5: Solve for x
    x = 199,314,484.71/14,464.98
  6. Step 6: Final answer
    x = 13,779.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.