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Finding the Fourth Proportional to 19,911.81, 29,858.52 and 7,428.50

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Solution

The fourth proportional to 19,911.81, 29,858.52 and 7,428.50 is: 11,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.81 : 29,858.52 = 7,428.50 : x
  2. Step 2: Convert to fraction form
    19,911.81/29,858.52 = 7,428.50/x
  3. Step 3: Cross multiply
    19,911.81x = 29,858.52 × 7,428.50
  4. Step 4: Simplify right side
    19,911.81x = 221,803,866.53
  5. Step 5: Solve for x
    x = 221,803,866.53/19,911.81
  6. Step 6: Final answer
    x = 11,139.31

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Why These Related Problems?

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