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Finding the Fourth Proportional to 19,948.71, 29,923.98 and 7,465.50

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Solution

The fourth proportional to 19,948.71, 29,923.98 and 7,465.50 is: 11,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948.71 : 29,923.98 = 7,465.50 : x
  2. Step 2: Convert to fraction form
    19,948.71/29,923.98 = 7,465.50/x
  3. Step 3: Cross multiply
    19,948.71x = 29,923.98 × 7,465.50
  4. Step 4: Simplify right side
    19,948.71x = 223,397,285.74
  5. Step 5: Solve for x
    x = 223,397,285.74/19,948.71
  6. Step 6: Final answer
    x = 11,198.58

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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.