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Finding the Fourth Proportional to 13,133.12, 18,123.84 and 7,164.77

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Solution

The fourth proportional to 13,133.12, 18,123.84 and 7,164.77 is: 9,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.12 : 18,123.84 = 7,164.77 : x
  2. Step 2: Convert to fraction form
    13,133.12/18,123.84 = 7,164.77/x
  3. Step 3: Cross multiply
    13,133.12x = 18,123.84 × 7,164.77
  4. Step 4: Simplify right side
    13,133.12x = 129,853,054.50
  5. Step 5: Solve for x
    x = 129,853,054.50/13,133.12
  6. Step 6: Final answer
    x = 9,887.45

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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.