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Finding the Fourth Proportional to 14,256, 19,673.57 and 7,883.11

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Solution

The fourth proportional to 14,256, 19,673.57 and 7,883.11 is: 10,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256 : 19,673.57 = 7,883.11 : x
  2. Step 2: Convert to fraction form
    14,256/19,673.57 = 7,883.11/x
  3. Step 3: Cross multiply
    14,256x = 19,673.57 × 7,883.11
  4. Step 4: Simplify right side
    14,256x = 155,088,916.40
  5. Step 5: Solve for x
    x = 155,088,916.40/14,256
  6. Step 6: Final answer
    x = 10,878.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.