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Finding the Fourth Proportional to 13,178.66, 18,192.49 and 8,405.01

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Solution

The fourth proportional to 13,178.66, 18,192.49 and 8,405.01 is: 11,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.66 : 18,192.49 = 8,405.01 : x
  2. Step 2: Convert to fraction form
    13,178.66/18,192.49 = 8,405.01/x
  3. Step 3: Cross multiply
    13,178.66x = 18,192.49 × 8,405.01
  4. Step 4: Simplify right side
    13,178.66x = 152,908,039.36
  5. Step 5: Solve for x
    x = 152,908,039.36/13,178.66
  6. Step 6: Final answer
    x = 11,602.70

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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.