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Finding the Fourth Proportional to 13,004.67, 19,507.01 and 3,143.95

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Solution

The fourth proportional to 13,004.67, 19,507.01 and 3,143.95 is: 4,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.67 : 19,507.01 = 3,143.95 : x
  2. Step 2: Convert to fraction form
    13,004.67/19,507.01 = 3,143.95/x
  3. Step 3: Cross multiply
    13,004.67x = 19,507.01 × 3,143.95
  4. Step 4: Simplify right side
    13,004.67x = 61,328,950.83
  5. Step 5: Solve for x
    x = 61,328,950.83/13,004.67
  6. Step 6: Final answer
    x = 4,715.92

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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.