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Finding the Fourth Proportional to 19,829.58, 29,744.97 and 5,038.50

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Solution

The fourth proportional to 19,829.58, 29,744.97 and 5,038.50 is: 7,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.58 : 29,744.97 = 5,038.50 : x
  2. Step 2: Convert to fraction form
    19,829.58/29,744.97 = 5,038.50/x
  3. Step 3: Cross multiply
    19,829.58x = 29,744.97 × 5,038.50
  4. Step 4: Simplify right side
    19,829.58x = 149,870,031.35
  5. Step 5: Solve for x
    x = 149,870,031.35/19,829.58
  6. Step 6: Final answer
    x = 7,557.90

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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.