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Finding the Fourth Proportional to 11,765.34, 17,656.61 and 9,000

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Solution

The fourth proportional to 11,765.34, 17,656.61 and 9,000 is: 13,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.34 : 17,656.61 = 9,000 : x
  2. Step 2: Convert to fraction form
    11,765.34/17,656.61 = 9,000/x
  3. Step 3: Cross multiply
    11,765.34x = 17,656.61 × 9,000
  4. Step 4: Simplify right side
    11,765.34x = 158,909,445
  5. Step 5: Solve for x
    x = 158,909,445/11,765.34
  6. Step 6: Final answer
    x = 13,506.57

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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.