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Finding the Fourth Proportional to 16,009.66, 24,008.07 and 6,643.30

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Solution

The fourth proportional to 16,009.66, 24,008.07 and 6,643.30 is: 9,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.66 : 24,008.07 = 6,643.30 : x
  2. Step 2: Convert to fraction form
    16,009.66/24,008.07 = 6,643.30/x
  3. Step 3: Cross multiply
    16,009.66x = 24,008.07 × 6,643.30
  4. Step 4: Simplify right side
    16,009.66x = 159,492,811.43
  5. Step 5: Solve for x
    x = 159,492,811.43/16,009.66
  6. Step 6: Final answer
    x = 9,962.29

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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.