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Finding the Fourth Proportional to 13,308, 19,962.03 and 4,074

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Solution

The fourth proportional to 13,308, 19,962.03 and 4,074 is: 6,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308 : 19,962.03 = 4,074 : x
  2. Step 2: Convert to fraction form
    13,308/19,962.03 = 4,074/x
  3. Step 3: Cross multiply
    13,308x = 19,962.03 × 4,074
  4. Step 4: Simplify right side
    13,308x = 81,325,310.22
  5. Step 5: Solve for x
    x = 81,325,310.22/13,308
  6. Step 6: Final answer
    x = 6,111.01

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Why These Related Problems?

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