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Finding the Fourth Proportional to 13,543.51, 18,688.75 and 7,877.97

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Solution

The fourth proportional to 13,543.51, 18,688.75 and 7,877.97 is: 10,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.51 : 18,688.75 = 7,877.97 : x
  2. Step 2: Convert to fraction form
    13,543.51/18,688.75 = 7,877.97/x
  3. Step 3: Cross multiply
    13,543.51x = 18,688.75 × 7,877.97
  4. Step 4: Simplify right side
    13,543.51x = 147,229,411.84
  5. Step 5: Solve for x
    x = 147,229,411.84/13,543.51
  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.