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Finding the Fourth Proportional to 13,051.84, 19,544.36 and 7,202

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Solution

The fourth proportional to 13,051.84, 19,544.36 and 7,202 is: 10,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.84 : 19,544.36 = 7,202 : x
  2. Step 2: Convert to fraction form
    13,051.84/19,544.36 = 7,202/x
  3. Step 3: Cross multiply
    13,051.84x = 19,544.36 × 7,202
  4. Step 4: Simplify right side
    13,051.84x = 140,758,480.72
  5. Step 5: Solve for x
    x = 140,758,480.72/13,051.84
  6. Step 6: Final answer
    x = 10,784.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.