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Finding the Fourth Proportional to 17,527.18, 26,306.70 and 9,212.80

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Solution

The fourth proportional to 17,527.18, 26,306.70 and 9,212.80 is: 13,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.18 : 26,306.70 = 9,212.80 : x
  2. Step 2: Convert to fraction form
    17,527.18/26,306.70 = 9,212.80/x
  3. Step 3: Cross multiply
    17,527.18x = 26,306.70 × 9,212.80
  4. Step 4: Simplify right side
    17,527.18x = 242,358,365.76
  5. Step 5: Solve for x
    x = 242,358,365.76/17,527.18
  6. Step 6: Final answer
    x = 13,827.57

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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.