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Finding the Fourth Proportional to 19,647.04, 29,478.24 and 7,336

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Solution

The fourth proportional to 19,647.04, 29,478.24 and 7,336 is: 11,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.04 : 29,478.24 = 7,336 : x
  2. Step 2: Convert to fraction form
    19,647.04/29,478.24 = 7,336/x
  3. Step 3: Cross multiply
    19,647.04x = 29,478.24 × 7,336
  4. Step 4: Simplify right side
    19,647.04x = 216,252,368.64
  5. Step 5: Solve for x
    x = 216,252,368.64/19,647.04
  6. Step 6: Final answer
    x = 11,006.87

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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.