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Finding the Fourth Proportional to 13,530.78, 18,672.84 and 7,563.06

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Solution

The fourth proportional to 13,530.78, 18,672.84 and 7,563.06 is: 10,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.78 : 18,672.84 = 7,563.06 : x
  2. Step 2: Convert to fraction form
    13,530.78/18,672.84 = 7,563.06/x
  3. Step 3: Cross multiply
    13,530.78x = 18,672.84 × 7,563.06
  4. Step 4: Simplify right side
    13,530.78x = 141,223,809.29
  5. Step 5: Solve for x
    x = 141,223,809.29/13,530.78
  6. Step 6: Final answer
    x = 10,437.23

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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.