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Finding the Fourth Proportional to 19,875.42, 27,422.08 and 11,914.74

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Solution

The fourth proportional to 19,875.42, 27,422.08 and 11,914.74 is: 16,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.42 : 27,422.08 = 11,914.74 : x
  2. Step 2: Convert to fraction form
    19,875.42/27,422.08 = 11,914.74/x
  3. Step 3: Cross multiply
    19,875.42x = 27,422.08 × 11,914.74
  4. Step 4: Simplify right side
    19,875.42x = 326,726,953.46
  5. Step 5: Solve for x
    x = 326,726,953.46/19,875.42
  6. Step 6: Final answer
    x = 16,438.74

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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.