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Finding the Fourth Proportional to 19,788, 29,656.08 and 11,027.04

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Solution

The fourth proportional to 19,788, 29,656.08 and 11,027.04 is: 16,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,788 : 29,656.08 = 11,027.04 : x
  2. Step 2: Convert to fraction form
    19,788/29,656.08 = 11,027.04/x
  3. Step 3: Cross multiply
    19,788x = 29,656.08 × 11,027.04
  4. Step 4: Simplify right side
    19,788x = 327,018,780.40
  5. Step 5: Solve for x
    x = 327,018,780.40/19,788
  6. Step 6: Final answer
    x = 16,526.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.