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Finding the Fourth Proportional to 13,077.32, 18,047.09 and 7,412.08

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Solution

The fourth proportional to 13,077.32, 18,047.09 and 7,412.08 is: 10,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.32 : 18,047.09 = 7,412.08 : x
  2. Step 2: Convert to fraction form
    13,077.32/18,047.09 = 7,412.08/x
  3. Step 3: Cross multiply
    13,077.32x = 18,047.09 × 7,412.08
  4. Step 4: Simplify right side
    13,077.32x = 133,766,384.61
  5. Step 5: Solve for x
    x = 133,766,384.61/13,077.32
  6. Step 6: Final answer
    x = 10,228.89

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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.