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Finding the Fourth Proportional to 19,650.78, 29,457.63 and 9,780.72

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Solution

The fourth proportional to 19,650.78, 29,457.63 and 9,780.72 is: 14,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650.78 : 29,457.63 = 9,780.72 : x
  2. Step 2: Convert to fraction form
    19,650.78/29,457.63 = 9,780.72/x
  3. Step 3: Cross multiply
    19,650.78x = 29,457.63 × 9,780.72
  4. Step 4: Simplify right side
    19,650.78x = 288,116,928.99
  5. Step 5: Solve for x
    x = 288,116,928.99/19,650.78
  6. Step 6: Final answer
    x = 14,661.86

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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.