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Finding the Fourth Proportional to 19,851.68, 27,397.68 and 11,468

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Solution

The fourth proportional to 19,851.68, 27,397.68 and 11,468 is: 15,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.68 : 27,397.68 = 11,468 : x
  2. Step 2: Convert to fraction form
    19,851.68/27,397.68 = 11,468/x
  3. Step 3: Cross multiply
    19,851.68x = 27,397.68 × 11,468
  4. Step 4: Simplify right side
    19,851.68x = 314,196,594.24
  5. Step 5: Solve for x
    x = 314,196,594.24/19,851.68
  6. Step 6: Final answer
    x = 15,827.20

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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.