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Finding the Fourth Proportional to 19,782.88, 27,300.36 and 10,830.35

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Solution

The fourth proportional to 19,782.88, 27,300.36 and 10,830.35 is: 14,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.88 : 27,300.36 = 10,830.35 : x
  2. Step 2: Convert to fraction form
    19,782.88/27,300.36 = 10,830.35/x
  3. Step 3: Cross multiply
    19,782.88x = 27,300.36 × 10,830.35
  4. Step 4: Simplify right side
    19,782.88x = 295,672,522.18
  5. Step 5: Solve for x
    x = 295,672,522.18/19,782.88
  6. Step 6: Final answer
    x = 14,945.88

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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.