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Finding the Fourth Proportional to 13,302.12, 18,357.04 and 7,334

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Solution

The fourth proportional to 13,302.12, 18,357.04 and 7,334 is: 10,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.12 : 18,357.04 = 7,334 : x
  2. Step 2: Convert to fraction form
    13,302.12/18,357.04 = 7,334/x
  3. Step 3: Cross multiply
    13,302.12x = 18,357.04 × 7,334
  4. Step 4: Simplify right side
    13,302.12x = 134,630,531.36
  5. Step 5: Solve for x
    x = 134,630,531.36/13,302.12
  6. Step 6: Final answer
    x = 10,120.98

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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.