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Finding the Fourth Proportional to 13,032.48, 19,526.02 and 6,782.92

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Solution

The fourth proportional to 13,032.48, 19,526.02 and 6,782.92 is: 10,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.48 : 19,526.02 = 6,782.92 : x
  2. Step 2: Convert to fraction form
    13,032.48/19,526.02 = 6,782.92/x
  3. Step 3: Cross multiply
    13,032.48x = 19,526.02 × 6,782.92
  4. Step 4: Simplify right side
    13,032.48x = 132,443,431.58
  5. Step 5: Solve for x
    x = 132,443,431.58/13,032.48
  6. Step 6: Final answer
    x = 10,162.57

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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.