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Finding the Fourth Proportional to 19,913.01, 27,468.51 and 12,448.05

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Solution

The fourth proportional to 19,913.01, 27,468.51 and 12,448.05 is: 17,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.01 : 27,468.51 = 12,448.05 : x
  2. Step 2: Convert to fraction form
    19,913.01/27,468.51 = 12,448.05/x
  3. Step 3: Cross multiply
    19,913.01x = 27,468.51 × 12,448.05
  4. Step 4: Simplify right side
    19,913.01x = 341,929,385.91
  5. Step 5: Solve for x
    x = 341,929,385.91/19,913.01
  6. Step 6: Final answer
    x = 17,171.16

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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.