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Finding the Fourth Proportional to 13,302.51, 19,949.72 and 5,509.50

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Solution

The fourth proportional to 13,302.51, 19,949.72 and 5,509.50 is: 8,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.51 : 19,949.72 = 5,509.50 : x
  2. Step 2: Convert to fraction form
    13,302.51/19,949.72 = 5,509.50/x
  3. Step 3: Cross multiply
    13,302.51x = 19,949.72 × 5,509.50
  4. Step 4: Simplify right side
    13,302.51x = 109,912,954.79
  5. Step 5: Solve for x
    x = 109,912,954.79/13,302.51
  6. Step 6: Final answer
    x = 8,262.57

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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.