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Finding the Fourth Proportional to 27,813.69, 38,384.51 and 15,880.77

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Solution

The fourth proportional to 27,813.69, 38,384.51 and 15,880.77 is: 21,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.69 : 38,384.51 = 15,880.77 : x
  2. Step 2: Convert to fraction form
    27,813.69/38,384.51 = 15,880.77/x
  3. Step 3: Cross multiply
    27,813.69x = 38,384.51 × 15,880.77
  4. Step 4: Simplify right side
    27,813.69x = 609,575,574.87
  5. Step 5: Solve for x
    x = 609,575,574.87/27,813.69
  6. Step 6: Final answer
    x = 21,916.39

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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.