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Finding the Fourth Proportional to 14,253.33, 21,386.14 and 7,678.20

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Solution

The fourth proportional to 14,253.33, 21,386.14 and 7,678.20 is: 11,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.33 : 21,386.14 = 7,678.20 : x
  2. Step 2: Convert to fraction form
    14,253.33/21,386.14 = 7,678.20/x
  3. Step 3: Cross multiply
    14,253.33x = 21,386.14 × 7,678.20
  4. Step 4: Simplify right side
    14,253.33x = 164,207,060.15
  5. Step 5: Solve for x
    x = 164,207,060.15/14,253.33
  6. Step 6: Final answer
    x = 11,520.61

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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.