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Finding the Fourth Proportional to 19,563, 29,325.06 and 9,156.12

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Solution

The fourth proportional to 19,563, 29,325.06 and 9,156.12 is: 13,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,563 : 29,325.06 = 9,156.12 : x
  2. Step 2: Convert to fraction form
    19,563/29,325.06 = 9,156.12/x
  3. Step 3: Cross multiply
    19,563x = 29,325.06 × 9,156.12
  4. Step 4: Simplify right side
    19,563x = 268,503,768.37
  5. Step 5: Solve for x
    x = 268,503,768.37/19,563
  6. Step 6: Final answer
    x = 13,725.08

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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.