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Finding the Fourth Proportional to 17,577, 26,365.50 and 5,265

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Solution

The fourth proportional to 17,577, 26,365.50 and 5,265 is: 7,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577 : 26,365.50 = 5,265 : x
  2. Step 2: Convert to fraction form
    17,577/26,365.50 = 5,265/x
  3. Step 3: Cross multiply
    17,577x = 26,365.50 × 5,265
  4. Step 4: Simplify right side
    17,577x = 138,814,357.50
  5. Step 5: Solve for x
    x = 138,814,357.50/17,577
  6. Step 6: Final answer
    x = 7,897.50

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