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Finding the Fourth Proportional to 16,253.70, 22,420.36 and 9,877.07

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Solution

The fourth proportional to 16,253.70, 22,420.36 and 9,877.07 is: 13,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.70 : 22,420.36 = 9,877.07 : x
  2. Step 2: Convert to fraction form
    16,253.70/22,420.36 = 9,877.07/x
  3. Step 3: Cross multiply
    16,253.70x = 22,420.36 × 9,877.07
  4. Step 4: Simplify right side
    16,253.70x = 221,447,533.54
  5. Step 5: Solve for x
    x = 221,447,533.54/16,253.70
  6. Step 6: Final answer
    x = 13,624.44

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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.