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Finding the Fourth Proportional to 19,903.24, 27,437.38 and 13,916.28

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Solution

The fourth proportional to 19,903.24, 27,437.38 and 13,916.28 is: 19,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,903.24 : 27,437.38 = 13,916.28 : x
  2. Step 2: Convert to fraction form
    19,903.24/27,437.38 = 13,916.28/x
  3. Step 3: Cross multiply
    19,903.24x = 27,437.38 × 13,916.28
  4. Step 4: Simplify right side
    19,903.24x = 381,826,262.55
  5. Step 5: Solve for x
    x = 381,826,262.55/19,903.24
  6. Step 6: Final answer
    x = 19,184.13

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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.