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Finding the Fourth Proportional to 19,830.47, 27,366.84 and 10,878.30

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Solution

The fourth proportional to 19,830.47, 27,366.84 and 10,878.30 is: 15,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.47 : 27,366.84 = 10,878.30 : x
  2. Step 2: Convert to fraction form
    19,830.47/27,366.84 = 10,878.30/x
  3. Step 3: Cross multiply
    19,830.47x = 27,366.84 × 10,878.30
  4. Step 4: Simplify right side
    19,830.47x = 297,704,695.57
  5. Step 5: Solve for x
    x = 297,704,695.57/19,830.47
  6. Step 6: Final answer
    x = 15,012.49

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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.