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Finding the Fourth Proportional to 14,644.99, 21,924.42 and 9,080.47

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Solution

The fourth proportional to 14,644.99, 21,924.42 and 9,080.47 is: 13,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.99 : 21,924.42 = 9,080.47 : x
  2. Step 2: Convert to fraction form
    14,644.99/21,924.42 = 9,080.47/x
  3. Step 3: Cross multiply
    14,644.99x = 21,924.42 × 9,080.47
  4. Step 4: Simplify right side
    14,644.99x = 199,084,038.08
  5. Step 5: Solve for x
    x = 199,084,038.08/14,644.99
  6. Step 6: Final answer
    x = 13,594.00

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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.