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Finding the Fourth Proportional to 14,084.95, 19,436.70 and 8,422.84

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Solution

The fourth proportional to 14,084.95, 19,436.70 and 8,422.84 is: 11,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.95 : 19,436.70 = 8,422.84 : x
  2. Step 2: Convert to fraction form
    14,084.95/19,436.70 = 8,422.84/x
  3. Step 3: Cross multiply
    14,084.95x = 19,436.70 × 8,422.84
  4. Step 4: Simplify right side
    14,084.95x = 163,712,214.23
  5. Step 5: Solve for x
    x = 163,712,214.23/14,084.95
  6. Step 6: Final answer
    x = 11,623.20

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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.