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Finding the Fourth Proportional to 13,113.58, 19,673.88 and 5,718.64

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Solution

The fourth proportional to 13,113.58, 19,673.88 and 5,718.64 is: 8,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.58 : 19,673.88 = 5,718.64 : x
  2. Step 2: Convert to fraction form
    13,113.58/19,673.88 = 5,718.64/x
  3. Step 3: Cross multiply
    13,113.58x = 19,673.88 × 5,718.64
  4. Step 4: Simplify right side
    13,113.58x = 112,507,837.12
  5. Step 5: Solve for x
    x = 112,507,837.12/13,113.58
  6. Step 6: Final answer
    x = 8,579.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.