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Finding the Fourth Proportional to 13,182.40, 18,196.68 and 7,875.28

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Solution

The fourth proportional to 13,182.40, 18,196.68 and 7,875.28 is: 10,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.40 : 18,196.68 = 7,875.28 : x
  2. Step 2: Convert to fraction form
    13,182.40/18,196.68 = 7,875.28/x
  3. Step 3: Cross multiply
    13,182.40x = 18,196.68 × 7,875.28
  4. Step 4: Simplify right side
    13,182.40x = 143,303,950.07
  5. Step 5: Solve for x
    x = 143,303,950.07/13,182.40
  6. Step 6: Final answer
    x = 10,870.85

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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.