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Finding the Fourth Proportional to 13,121, 19,681.50 and 3,393

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Solution

The fourth proportional to 13,121, 19,681.50 and 3,393 is: 5,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121 : 19,681.50 = 3,393 : x
  2. Step 2: Convert to fraction form
    13,121/19,681.50 = 3,393/x
  3. Step 3: Cross multiply
    13,121x = 19,681.50 × 3,393
  4. Step 4: Simplify right side
    13,121x = 66,779,329.50
  5. Step 5: Solve for x
    x = 66,779,329.50/13,121
  6. Step 6: Final answer
    x = 5,089.50

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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.