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Finding the Fourth Proportional to 12,527.76, 17,290.26 and 7,224.24

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Solution

The fourth proportional to 12,527.76, 17,290.26 and 7,224.24 is: 9,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.76 : 17,290.26 = 7,224.24 : x
  2. Step 2: Convert to fraction form
    12,527.76/17,290.26 = 7,224.24/x
  3. Step 3: Cross multiply
    12,527.76x = 17,290.26 × 7,224.24
  4. Step 4: Simplify right side
    12,527.76x = 124,908,987.90
  5. Step 5: Solve for x
    x = 124,908,987.90/12,527.76
  6. Step 6: Final answer
    x = 9,970.58

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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.