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Finding the Fourth Proportional to 13,298.72, 19,962.66 and 5,513

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Solution

The fourth proportional to 13,298.72, 19,962.66 and 5,513 is: 8,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.72 : 19,962.66 = 5,513 : x
  2. Step 2: Convert to fraction form
    13,298.72/19,962.66 = 5,513/x
  3. Step 3: Cross multiply
    13,298.72x = 19,962.66 × 5,513
  4. Step 4: Simplify right side
    13,298.72x = 110,054,144.58
  5. Step 5: Solve for x
    x = 110,054,144.58/13,298.72
  6. Step 6: Final answer
    x = 8,275.54

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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.