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Finding the Fourth Proportional to 19,916.51, 27,485.10 and 11,419.38

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Solution

The fourth proportional to 19,916.51, 27,485.10 and 11,419.38 is: 15,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916.51 : 27,485.10 = 11,419.38 : x
  2. Step 2: Convert to fraction form
    19,916.51/27,485.10 = 11,419.38/x
  3. Step 3: Cross multiply
    19,916.51x = 27,485.10 × 11,419.38
  4. Step 4: Simplify right side
    19,916.51x = 313,862,801.24
  5. Step 5: Solve for x
    x = 313,862,801.24/19,916.51
  6. Step 6: Final answer
    x = 15,758.93

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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.