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Finding the Fourth Proportional to 13,531.44, 18,666.54 and 9,055.38

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Solution

The fourth proportional to 13,531.44, 18,666.54 and 9,055.38 is: 12,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.44 : 18,666.54 = 9,055.38 : x
  2. Step 2: Convert to fraction form
    13,531.44/18,666.54 = 9,055.38/x
  3. Step 3: Cross multiply
    13,531.44x = 18,666.54 × 9,055.38
  4. Step 4: Simplify right side
    13,531.44x = 169,032,612.99
  5. Step 5: Solve for x
    x = 169,032,612.99/13,531.44
  6. Step 6: Final answer
    x = 12,491.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.