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Finding the Fourth Proportional to 14,256.11, 19,672.64 and 7,882.34

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Solution

The fourth proportional to 14,256.11, 19,672.64 and 7,882.34 is: 10,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.11 : 19,672.64 = 7,882.34 : x
  2. Step 2: Convert to fraction form
    14,256.11/19,672.64 = 7,882.34/x
  3. Step 3: Cross multiply
    14,256.11x = 19,672.64 × 7,882.34
  4. Step 4: Simplify right side
    14,256.11x = 155,066,328.96
  5. Step 5: Solve for x
    x = 155,066,328.96/14,256.11
  6. Step 6: Final answer
    x = 10,877.18

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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.