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Finding the Fourth Proportional to 19,782.88, 27,300.24 and 10,830.53

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Solution

The fourth proportional to 19,782.88, 27,300.24 and 10,830.53 is: 14,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.88 : 27,300.24 = 10,830.53 : x
  2. Step 2: Convert to fraction form
    19,782.88/27,300.24 = 10,830.53/x
  3. Step 3: Cross multiply
    19,782.88x = 27,300.24 × 10,830.53
  4. Step 4: Simplify right side
    19,782.88x = 295,676,156.89
  5. Step 5: Solve for x
    x = 295,676,156.89/19,782.88
  6. Step 6: Final answer
    x = 14,946.06

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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.