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Finding the Fourth Proportional to 13,038.50, 19,561.80 and 3,804.50

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Solution

The fourth proportional to 13,038.50, 19,561.80 and 3,804.50 is: 5,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.50 : 19,561.80 = 3,804.50 : x
  2. Step 2: Convert to fraction form
    13,038.50/19,561.80 = 3,804.50/x
  3. Step 3: Cross multiply
    13,038.50x = 19,561.80 × 3,804.50
  4. Step 4: Simplify right side
    13,038.50x = 74,422,868.10
  5. Step 5: Solve for x
    x = 74,422,868.10/13,038.50
  6. Step 6: Final answer
    x = 5,707.93

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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.