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Finding the Fourth Proportional to 19,902.19, 27,468.95 and 11,410.02

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Solution

The fourth proportional to 19,902.19, 27,468.95 and 11,410.02 is: 15,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.19 : 27,468.95 = 11,410.02 : x
  2. Step 2: Convert to fraction form
    19,902.19/27,468.95 = 11,410.02/x
  3. Step 3: Cross multiply
    19,902.19x = 27,468.95 × 11,410.02
  4. Step 4: Simplify right side
    19,902.19x = 313,421,268.88
  5. Step 5: Solve for x
    x = 313,421,268.88/19,902.19
  6. Step 6: Final answer
    x = 15,748.08

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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.