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Finding the Fourth Proportional to 22,684.68, 31,283.88 and 14,184.06

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Solution

The fourth proportional to 22,684.68, 31,283.88 and 14,184.06 is: 19,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.68 : 31,283.88 = 14,184.06 : x
  2. Step 2: Convert to fraction form
    22,684.68/31,283.88 = 14,184.06/x
  3. Step 3: Cross multiply
    22,684.68x = 31,283.88 × 14,184.06
  4. Step 4: Simplify right side
    22,684.68x = 443,732,430.95
  5. Step 5: Solve for x
    x = 443,732,430.95/22,684.68
  6. Step 6: Final answer
    x = 19,560.89

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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.