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Finding the Fourth Proportional to 23,809.65, 35,726.63 and 9,780.45

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Solution

The fourth proportional to 23,809.65, 35,726.63 and 9,780.45 is: 14,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.65 : 35,726.63 = 9,780.45 : x
  2. Step 2: Convert to fraction form
    23,809.65/35,726.63 = 9,780.45/x
  3. Step 3: Cross multiply
    23,809.65x = 35,726.63 × 9,780.45
  4. Step 4: Simplify right side
    23,809.65x = 349,422,469.48
  5. Step 5: Solve for x
    x = 349,422,469.48/23,809.65
  6. Step 6: Final answer
    x = 14,675.67

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