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Finding the Fourth Proportional to 12,527.76, 17,288.06 and 7,222.26

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Solution

The fourth proportional to 12,527.76, 17,288.06 and 7,222.26 is: 9,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.76 : 17,288.06 = 7,222.26 : x
  2. Step 2: Convert to fraction form
    12,527.76/17,288.06 = 7,222.26/x
  3. Step 3: Cross multiply
    12,527.76x = 17,288.06 × 7,222.26
  4. Step 4: Simplify right side
    12,527.76x = 124,858,828.10
  5. Step 5: Solve for x
    x = 124,858,828.10/12,527.76
  6. Step 6: Final answer
    x = 9,966.57

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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.