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Finding the Fourth Proportional to 12,146.33, 16,772.91 and 7,678.01

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Solution

The fourth proportional to 12,146.33, 16,772.91 and 7,678.01 is: 10,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.33 : 16,772.91 = 7,678.01 : x
  2. Step 2: Convert to fraction form
    12,146.33/16,772.91 = 7,678.01/x
  3. Step 3: Cross multiply
    12,146.33x = 16,772.91 × 7,678.01
  4. Step 4: Simplify right side
    12,146.33x = 128,782,570.71
  5. Step 5: Solve for x
    x = 128,782,570.71/12,146.33
  6. Step 6: Final answer
    x = 10,602.59

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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.