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Finding the Fourth Proportional to 13,938.71, 19,235.79 and 7,888.50

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Solution

The fourth proportional to 13,938.71, 19,235.79 and 7,888.50 is: 10,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.71 : 19,235.79 = 7,888.50 : x
  2. Step 2: Convert to fraction form
    13,938.71/19,235.79 = 7,888.50/x
  3. Step 3: Cross multiply
    13,938.71x = 19,235.79 × 7,888.50
  4. Step 4: Simplify right side
    13,938.71x = 151,741,529.42
  5. Step 5: Solve for x
    x = 151,741,529.42/13,938.71
  6. Step 6: Final answer
    x = 10,886.34

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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.