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Finding the Fourth Proportional to 17,536.40, 26,261.76 and 9,223.40

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Solution

The fourth proportional to 17,536.40, 26,261.76 and 9,223.40 is: 13,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.40 : 26,261.76 = 9,223.40 : x
  2. Step 2: Convert to fraction form
    17,536.40/26,261.76 = 9,223.40/x
  3. Step 3: Cross multiply
    17,536.40x = 26,261.76 × 9,223.40
  4. Step 4: Simplify right side
    17,536.40x = 242,222,717.18
  5. Step 5: Solve for x
    x = 242,222,717.18/17,536.40
  6. Step 6: Final answer
    x = 13,812.57

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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.