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Finding the Fourth Proportional to 17,916.80, 26,872.64 and 4,768

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Solution

The fourth proportional to 17,916.80, 26,872.64 and 4,768 is: 7,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.80 : 26,872.64 = 4,768 : x
  2. Step 2: Convert to fraction form
    17,916.80/26,872.64 = 4,768/x
  3. Step 3: Cross multiply
    17,916.80x = 26,872.64 × 4,768
  4. Step 4: Simplify right side
    17,916.80x = 128,128,747.52
  5. Step 5: Solve for x
    x = 128,128,747.52/17,916.80
  6. Step 6: Final answer
    x = 7,151.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.