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Finding the Fourth Proportional to 22,686.84, 31,307.94 and 13,253.40

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Solution

The fourth proportional to 22,686.84, 31,307.94 and 13,253.40 is: 18,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.84 : 31,307.94 = 13,253.40 : x
  2. Step 2: Convert to fraction form
    22,686.84/31,307.94 = 13,253.40/x
  3. Step 3: Cross multiply
    22,686.84x = 31,307.94 × 13,253.40
  4. Step 4: Simplify right side
    22,686.84x = 414,936,652.00
  5. Step 5: Solve for x
    x = 414,936,652.00/22,686.84
  6. Step 6: Final answer
    x = 18,289.75

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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.