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Finding the Fourth Proportional to 15,507.78, 21,400.14 and 8,434.21

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Solution

The fourth proportional to 15,507.78, 21,400.14 and 8,434.21 is: 11,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.78 : 21,400.14 = 8,434.21 : x
  2. Step 2: Convert to fraction form
    15,507.78/21,400.14 = 8,434.21/x
  3. Step 3: Cross multiply
    15,507.78x = 21,400.14 × 8,434.21
  4. Step 4: Simplify right side
    15,507.78x = 180,493,274.79
  5. Step 5: Solve for x
    x = 180,493,274.79/15,507.78
  6. Step 6: Final answer
    x = 11,638.89

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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.