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Finding the Fourth Proportional to 13,686.84, 18,887.04 and 7,718.49

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Solution

The fourth proportional to 13,686.84, 18,887.04 and 7,718.49 is: 10,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.84 : 18,887.04 = 7,718.49 : x
  2. Step 2: Convert to fraction form
    13,686.84/18,887.04 = 7,718.49/x
  3. Step 3: Cross multiply
    13,686.84x = 18,887.04 × 7,718.49
  4. Step 4: Simplify right side
    13,686.84x = 145,779,429.37
  5. Step 5: Solve for x
    x = 145,779,429.37/13,686.84
  6. Step 6: Final answer
    x = 10,651.07

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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.