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Finding the Fourth Proportional to 13,187.88, 18,196.32 and 7,881.84

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Solution

The fourth proportional to 13,187.88, 18,196.32 and 7,881.84 is: 10,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.88 : 18,196.32 = 7,881.84 : x
  2. Step 2: Convert to fraction form
    13,187.88/18,196.32 = 7,881.84/x
  3. Step 3: Cross multiply
    13,187.88x = 18,196.32 × 7,881.84
  4. Step 4: Simplify right side
    13,187.88x = 143,420,482.83
  5. Step 5: Solve for x
    x = 143,420,482.83/13,187.88
  6. Step 6: Final answer
    x = 10,875.17

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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.