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Finding the Fourth Proportional to 16,419.49, 22,807.76 and 16,165.10

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Solution

The fourth proportional to 16,419.49, 22,807.76 and 16,165.10 is: 22,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.49 : 22,807.76 = 16,165.10 : x
  2. Step 2: Convert to fraction form
    16,419.49/22,807.76 = 16,165.10/x
  3. Step 3: Cross multiply
    16,419.49x = 22,807.76 × 16,165.10
  4. Step 4: Simplify right side
    16,419.49x = 368,689,697.37
  5. Step 5: Solve for x
    x = 368,689,697.37/16,419.49
  6. Step 6: Final answer
    x = 22,454.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.