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Finding the Fourth Proportional to 19,477.76, 29,234 and 9,095.36

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Solution

The fourth proportional to 19,477.76, 29,234 and 9,095.36 is: 13,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.76 : 29,234 = 9,095.36 : x
  2. Step 2: Convert to fraction form
    19,477.76/29,234 = 9,095.36/x
  3. Step 3: Cross multiply
    19,477.76x = 29,234 × 9,095.36
  4. Step 4: Simplify right side
    19,477.76x = 265,893,754.24
  5. Step 5: Solve for x
    x = 265,893,754.24/19,477.76
  6. Step 6: Final answer
    x = 13,651.15

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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.