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Finding the Fourth Proportional to 19,475.76, 29,231 and 9,093.36

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Solution

The fourth proportional to 19,475.76, 29,231 and 9,093.36 is: 13,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,475.76 : 29,231 = 9,093.36 : x
  2. Step 2: Convert to fraction form
    19,475.76/29,231 = 9,093.36/x
  3. Step 3: Cross multiply
    19,475.76x = 29,231 × 9,093.36
  4. Step 4: Simplify right side
    19,475.76x = 265,808,006.16
  5. Step 5: Solve for x
    x = 265,808,006.16/19,475.76
  6. Step 6: Final answer
    x = 13,648.15

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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.