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Finding the Fourth Proportional to 13,004.19, 17,953.49 and 8,535.76

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Solution

The fourth proportional to 13,004.19, 17,953.49 and 8,535.76 is: 11,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.19 : 17,953.49 = 8,535.76 : x
  2. Step 2: Convert to fraction form
    13,004.19/17,953.49 = 8,535.76/x
  3. Step 3: Cross multiply
    13,004.19x = 17,953.49 × 8,535.76
  4. Step 4: Simplify right side
    13,004.19x = 153,246,658.26
  5. Step 5: Solve for x
    x = 153,246,658.26/13,004.19
  6. Step 6: Final answer
    x = 11,784.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.