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Finding the Fourth Proportional to 12,419.12, 17,144.73 and 9,580.12

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Solution

The fourth proportional to 12,419.12, 17,144.73 and 9,580.12 is: 13,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.12 : 17,144.73 = 9,580.12 : x
  2. Step 2: Convert to fraction form
    12,419.12/17,144.73 = 9,580.12/x
  3. Step 3: Cross multiply
    12,419.12x = 17,144.73 × 9,580.12
  4. Step 4: Simplify right side
    12,419.12x = 164,248,570.77
  5. Step 5: Solve for x
    x = 164,248,570.77/12,419.12
  6. Step 6: Final answer
    x = 13,225.46

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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.