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Finding the Fourth Proportional to 16,698.88, 25,008.57 and 9,664.08

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Solution

The fourth proportional to 16,698.88, 25,008.57 and 9,664.08 is: 14,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698.88 : 25,008.57 = 9,664.08 : x
  2. Step 2: Convert to fraction form
    16,698.88/25,008.57 = 9,664.08/x
  3. Step 3: Cross multiply
    16,698.88x = 25,008.57 × 9,664.08
  4. Step 4: Simplify right side
    16,698.88x = 241,684,821.17
  5. Step 5: Solve for x
    x = 241,684,821.17/16,698.88
  6. Step 6: Final answer
    x = 14,473.12

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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.