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Finding the Fourth Proportional to 22,419, 33,606.63 and 7,415.84

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Solution

The fourth proportional to 22,419, 33,606.63 and 7,415.84 is: 11,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419 : 33,606.63 = 7,415.84 : x
  2. Step 2: Convert to fraction form
    22,419/33,606.63 = 7,415.84/x
  3. Step 3: Cross multiply
    22,419x = 33,606.63 × 7,415.84
  4. Step 4: Simplify right side
    22,419x = 249,221,475.04
  5. Step 5: Solve for x
    x = 249,221,475.04/22,419
  6. Step 6: Final answer
    x = 11,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.