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Finding the Fourth Proportional to 19,778.60, 29,664.70 and 7,304.50

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Solution

The fourth proportional to 19,778.60, 29,664.70 and 7,304.50 is: 10,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.60 : 29,664.70 = 7,304.50 : x
  2. Step 2: Convert to fraction form
    19,778.60/29,664.70 = 7,304.50/x
  3. Step 3: Cross multiply
    19,778.60x = 29,664.70 × 7,304.50
  4. Step 4: Simplify right side
    19,778.60x = 216,685,653.11
  5. Step 5: Solve for x
    x = 216,685,653.11/19,778.60
  6. Step 6: Final answer
    x = 10,955.56

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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.