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Finding the Fourth Proportional to 15,419.30, 21,277.82 and 9,045

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Solution

The fourth proportional to 15,419.30, 21,277.82 and 9,045 is: 12,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419.30 : 21,277.82 = 9,045 : x
  2. Step 2: Convert to fraction form
    15,419.30/21,277.82 = 9,045/x
  3. Step 3: Cross multiply
    15,419.30x = 21,277.82 × 9,045
  4. Step 4: Simplify right side
    15,419.30x = 192,457,904.51
  5. Step 5: Solve for x
    x = 192,457,904.51/15,419.30
  6. Step 6: Final answer
    x = 12,481.63

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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.