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Finding the Fourth Proportional to 12,526.12, 17,289.17 and 7,224.13

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Solution

The fourth proportional to 12,526.12, 17,289.17 and 7,224.13 is: 9,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.12 : 17,289.17 = 7,224.13 : x
  2. Step 2: Convert to fraction form
    12,526.12/17,289.17 = 7,224.13/x
  3. Step 3: Cross multiply
    12,526.12x = 17,289.17 × 7,224.13
  4. Step 4: Simplify right side
    12,526.12x = 124,899,211.67
  5. Step 5: Solve for x
    x = 124,899,211.67/12,526.12
  6. Step 6: Final answer
    x = 9,971.10

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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.