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Finding the Fourth Proportional to 13,856.65, 19,117.44 and 7,886.84

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Solution

The fourth proportional to 13,856.65, 19,117.44 and 7,886.84 is: 10,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.65 : 19,117.44 = 7,886.84 : x
  2. Step 2: Convert to fraction form
    13,856.65/19,117.44 = 7,886.84/x
  3. Step 3: Cross multiply
    13,856.65x = 19,117.44 × 7,886.84
  4. Step 4: Simplify right side
    13,856.65x = 150,776,094.90
  5. Step 5: Solve for x
    x = 150,776,094.90/13,856.65
  6. Step 6: Final answer
    x = 10,881.14

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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.