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Finding the Fourth Proportional to 13,032.71, 19,548.95 and 4,709.57

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Solution

The fourth proportional to 13,032.71, 19,548.95 and 4,709.57 is: 7,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.71 : 19,548.95 = 4,709.57 : x
  2. Step 2: Convert to fraction form
    13,032.71/19,548.95 = 4,709.57/x
  3. Step 3: Cross multiply
    13,032.71x = 19,548.95 × 4,709.57
  4. Step 4: Simplify right side
    13,032.71x = 92,067,173.78
  5. Step 5: Solve for x
    x = 92,067,173.78/13,032.71
  6. Step 6: Final answer
    x = 7,064.32

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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.