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Finding the Fourth Proportional to 13,133.61, 18,123.75 and 7,164.92

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Solution

The fourth proportional to 13,133.61, 18,123.75 and 7,164.92 is: 9,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.61 : 18,123.75 = 7,164.92 : x
  2. Step 2: Convert to fraction form
    13,133.61/18,123.75 = 7,164.92/x
  3. Step 3: Cross multiply
    13,133.61x = 18,123.75 × 7,164.92
  4. Step 4: Simplify right side
    13,133.61x = 129,855,264.16
  5. Step 5: Solve for x
    x = 129,855,264.16/13,133.61
  6. Step 6: Final answer
    x = 9,887.25

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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.