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Finding the Fourth Proportional to 25,577, 38,368.76 and 7,109

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Solution

The fourth proportional to 25,577, 38,368.76 and 7,109 is: 10,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577 : 38,368.76 = 7,109 : x
  2. Step 2: Convert to fraction form
    25,577/38,368.76 = 7,109/x
  3. Step 3: Cross multiply
    25,577x = 38,368.76 × 7,109
  4. Step 4: Simplify right side
    25,577x = 272,763,514.84
  5. Step 5: Solve for x
    x = 272,763,514.84/25,577
  6. Step 6: Final answer
    x = 10,664.41

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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.