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Finding the Fourth Proportional to 13,820, 19,072.36 and 7,532.24

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Solution

The fourth proportional to 13,820, 19,072.36 and 7,532.24 is: 10,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820 : 19,072.36 = 7,532.24 : x
  2. Step 2: Convert to fraction form
    13,820/19,072.36 = 7,532.24/x
  3. Step 3: Cross multiply
    13,820x = 19,072.36 × 7,532.24
  4. Step 4: Simplify right side
    13,820x = 143,657,592.89
  5. Step 5: Solve for x
    x = 143,657,592.89/13,820
  6. Step 6: Final answer
    x = 10,394.91

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Why These Related Problems?

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