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Finding the Fourth Proportional to 12,527.16, 17,279.40 and 9,536.44

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Solution

The fourth proportional to 12,527.16, 17,279.40 and 9,536.44 is: 13,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.16 : 17,279.40 = 9,536.44 : x
  2. Step 2: Convert to fraction form
    12,527.16/17,279.40 = 9,536.44/x
  3. Step 3: Cross multiply
    12,527.16x = 17,279.40 × 9,536.44
  4. Step 4: Simplify right side
    12,527.16x = 164,783,961.34
  5. Step 5: Solve for x
    x = 164,783,961.34/12,527.16
  6. Step 6: Final answer
    x = 13,154.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.