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Finding the Fourth Proportional to 19,856.88, 27,385.74 and 14,181.12

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Solution

The fourth proportional to 19,856.88, 27,385.74 and 14,181.12 is: 19,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.88 : 27,385.74 = 14,181.12 : x
  2. Step 2: Convert to fraction form
    19,856.88/27,385.74 = 14,181.12/x
  3. Step 3: Cross multiply
    19,856.88x = 27,385.74 × 14,181.12
  4. Step 4: Simplify right side
    19,856.88x = 388,360,465.23
  5. Step 5: Solve for x
    x = 388,360,465.23/19,856.88
  6. Step 6: Final answer
    x = 19,557.98

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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.