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Finding the Fourth Proportional to 13,178.64, 18,186.21 and 7,210.29

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Solution

The fourth proportional to 13,178.64, 18,186.21 and 7,210.29 is: 9,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.64 : 18,186.21 = 7,210.29 : x
  2. Step 2: Convert to fraction form
    13,178.64/18,186.21 = 7,210.29/x
  3. Step 3: Cross multiply
    13,178.64x = 18,186.21 × 7,210.29
  4. Step 4: Simplify right side
    13,178.64x = 131,127,848.10
  5. Step 5: Solve for x
    x = 131,127,848.10/13,178.64
  6. Step 6: Final answer
    x = 9,950.03

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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.