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Finding the Fourth Proportional to 13,482.43, 18,544.08 and 10,824.01

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Solution

The fourth proportional to 13,482.43, 18,544.08 and 10,824.01 is: 14,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.43 : 18,544.08 = 10,824.01 : x
  2. Step 2: Convert to fraction form
    13,482.43/18,544.08 = 10,824.01/x
  3. Step 3: Cross multiply
    13,482.43x = 18,544.08 × 10,824.01
  4. Step 4: Simplify right side
    13,482.43x = 200,721,307.36
  5. Step 5: Solve for x
    x = 200,721,307.36/13,482.43
  6. Step 6: Final answer
    x = 14,887.62

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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.