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Finding the Fourth Proportional to 19,477.40, 29,216.10 and 4,686.33

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Solution

The fourth proportional to 19,477.40, 29,216.10 and 4,686.33 is: 7,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.40 : 29,216.10 = 4,686.33 : x
  2. Step 2: Convert to fraction form
    19,477.40/29,216.10 = 4,686.33/x
  3. Step 3: Cross multiply
    19,477.40x = 29,216.10 × 4,686.33
  4. Step 4: Simplify right side
    19,477.40x = 136,916,285.91
  5. Step 5: Solve for x
    x = 136,916,285.91/19,477.40
  6. Step 6: Final answer
    x = 7,029.50

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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.