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Finding the Fourth Proportional to 14,256.63, 19,673.30 and 7,882.72

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Solution

The fourth proportional to 14,256.63, 19,673.30 and 7,882.72 is: 10,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.63 : 19,673.30 = 7,882.72 : x
  2. Step 2: Convert to fraction form
    14,256.63/19,673.30 = 7,882.72/x
  3. Step 3: Cross multiply
    14,256.63x = 19,673.30 × 7,882.72
  4. Step 4: Simplify right side
    14,256.63x = 155,079,056.34
  5. Step 5: Solve for x
    x = 155,079,056.34/14,256.63
  6. Step 6: Final answer
    x = 10,877.68

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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.