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Finding the Fourth Proportional to 15,678.78, 23,518.71 and 7,883.34

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Solution

The fourth proportional to 15,678.78, 23,518.71 and 7,883.34 is: 11,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.78 : 23,518.71 = 7,883.34 : x
  2. Step 2: Convert to fraction form
    15,678.78/23,518.71 = 7,883.34/x
  3. Step 3: Cross multiply
    15,678.78x = 23,518.71 × 7,883.34
  4. Step 4: Simplify right side
    15,678.78x = 185,405,987.29
  5. Step 5: Solve for x
    x = 185,405,987.29/15,678.78
  6. Step 6: Final answer
    x = 11,825.28

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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.