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Finding the Fourth Proportional to 19,782.68, 27,300.12 and 10,830.56

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Solution

The fourth proportional to 19,782.68, 27,300.12 and 10,830.56 is: 14,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.68 : 27,300.12 = 10,830.56 : x
  2. Step 2: Convert to fraction form
    19,782.68/27,300.12 = 10,830.56/x
  3. Step 3: Cross multiply
    19,782.68x = 27,300.12 × 10,830.56
  4. Step 4: Simplify right side
    19,782.68x = 295,675,587.67
  5. Step 5: Solve for x
    x = 295,675,587.67/19,782.68
  6. Step 6: Final answer
    x = 14,946.18

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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.