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Finding the Fourth Proportional to 14,261.40, 19,675.71 and 8,291.70

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Solution

The fourth proportional to 14,261.40, 19,675.71 and 8,291.70 is: 11,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.40 : 19,675.71 = 8,291.70 : x
  2. Step 2: Convert to fraction form
    14,261.40/19,675.71 = 8,291.70/x
  3. Step 3: Cross multiply
    14,261.40x = 19,675.71 × 8,291.70
  4. Step 4: Simplify right side
    14,261.40x = 163,145,084.61
  5. Step 5: Solve for x
    x = 163,145,084.61/14,261.40
  6. Step 6: Final answer
    x = 11,439.63

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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.