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Finding the Fourth Proportional to 23,283.65, 34,922.59 and 6,645.14

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Solution

The fourth proportional to 23,283.65, 34,922.59 and 6,645.14 is: 9,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.65 : 34,922.59 = 6,645.14 : x
  2. Step 2: Convert to fraction form
    23,283.65/34,922.59 = 6,645.14/x
  3. Step 3: Cross multiply
    23,283.65x = 34,922.59 × 6,645.14
  4. Step 4: Simplify right side
    23,283.65x = 232,065,499.71
  5. Step 5: Solve for x
    x = 232,065,499.71/23,283.65
  6. Step 6: Final answer
    x = 9,966.89

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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.