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Finding the Fourth Proportional to 13,089, 19,633.68 and 7,257

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Solution

The fourth proportional to 13,089, 19,633.68 and 7,257 is: 10,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089 : 19,633.68 = 7,257 : x
  2. Step 2: Convert to fraction form
    13,089/19,633.68 = 7,257/x
  3. Step 3: Cross multiply
    13,089x = 19,633.68 × 7,257
  4. Step 4: Simplify right side
    13,089x = 142,481,615.76
  5. Step 5: Solve for x
    x = 142,481,615.76/13,089
  6. Step 6: Final answer
    x = 10,885.60

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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.