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Finding the Fourth Proportional to 15,507.63, 21,400.53 and 8,434.05

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Solution

The fourth proportional to 15,507.63, 21,400.53 and 8,434.05 is: 11,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.63 : 21,400.53 = 8,434.05 : x
  2. Step 2: Convert to fraction form
    15,507.63/21,400.53 = 8,434.05/x
  3. Step 3: Cross multiply
    15,507.63x = 21,400.53 × 8,434.05
  4. Step 4: Simplify right side
    15,507.63x = 180,493,140.05
  5. Step 5: Solve for x
    x = 180,493,140.05/15,507.63
  6. Step 6: Final answer
    x = 11,638.99

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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.