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Finding the Fourth Proportional to 14,133.95, 19,506.40 and 8,084.76

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Solution

The fourth proportional to 14,133.95, 19,506.40 and 8,084.76 is: 11,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.95 : 19,506.40 = 8,084.76 : x
  2. Step 2: Convert to fraction form
    14,133.95/19,506.40 = 8,084.76/x
  3. Step 3: Cross multiply
    14,133.95x = 19,506.40 × 8,084.76
  4. Step 4: Simplify right side
    14,133.95x = 157,704,562.46
  5. Step 5: Solve for x
    x = 157,704,562.46/14,133.95
  6. Step 6: Final answer
    x = 11,157.85

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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.