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Finding the Fourth Proportional to 13,207.12, 18,225.72 and 7,618

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Solution

The fourth proportional to 13,207.12, 18,225.72 and 7,618 is: 10,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.12 : 18,225.72 = 7,618 : x
  2. Step 2: Convert to fraction form
    13,207.12/18,225.72 = 7,618/x
  3. Step 3: Cross multiply
    13,207.12x = 18,225.72 × 7,618
  4. Step 4: Simplify right side
    13,207.12x = 138,843,534.96
  5. Step 5: Solve for x
    x = 138,843,534.96/13,207.12
  6. Step 6: Final answer
    x = 10,512.78

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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.