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Finding the Fourth Proportional to 16,802.24, 25,186.41 and 10,566.70

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Solution

The fourth proportional to 16,802.24, 25,186.41 and 10,566.70 is: 15,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.24 : 25,186.41 = 10,566.70 : x
  2. Step 2: Convert to fraction form
    16,802.24/25,186.41 = 10,566.70/x
  3. Step 3: Cross multiply
    16,802.24x = 25,186.41 × 10,566.70
  4. Step 4: Simplify right side
    16,802.24x = 266,137,317.25
  5. Step 5: Solve for x
    x = 266,137,317.25/16,802.24
  6. Step 6: Final answer
    x = 15,839.40

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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.