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Finding the Fourth Proportional to 12,357.42, 17,019 and 10,678.28

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Solution

The fourth proportional to 12,357.42, 17,019 and 10,678.28 is: 14,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.42 : 17,019 = 10,678.28 : x
  2. Step 2: Convert to fraction form
    12,357.42/17,019 = 10,678.28/x
  3. Step 3: Cross multiply
    12,357.42x = 17,019 × 10,678.28
  4. Step 4: Simplify right side
    12,357.42x = 181,733,647.32
  5. Step 5: Solve for x
    x = 181,733,647.32/12,357.42
  6. Step 6: Final answer
    x = 14,706.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.