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Finding the Fourth Proportional to 22,918.22, 34,371.76 and 9,584

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Solution

The fourth proportional to 22,918.22, 34,371.76 and 9,584 is: 14,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,918.22 : 34,371.76 = 9,584 : x
  2. Step 2: Convert to fraction form
    22,918.22/34,371.76 = 9,584/x
  3. Step 3: Cross multiply
    22,918.22x = 34,371.76 × 9,584
  4. Step 4: Simplify right side
    22,918.22x = 329,418,947.84
  5. Step 5: Solve for x
    x = 329,418,947.84/22,918.22
  6. Step 6: Final answer
    x = 14,373.67

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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.