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Finding the Fourth Proportional to 19,977.16, 29,813.84 and 17,762.88

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Solution

The fourth proportional to 19,977.16, 29,813.84 and 17,762.88 is: 26,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.16 : 29,813.84 = 17,762.88 : x
  2. Step 2: Convert to fraction form
    19,977.16/29,813.84 = 17,762.88/x
  3. Step 3: Cross multiply
    19,977.16x = 29,813.84 × 17,762.88
  4. Step 4: Simplify right side
    19,977.16x = 529,579,662.26
  5. Step 5: Solve for x
    x = 529,579,662.26/19,977.16
  6. Step 6: Final answer
    x = 26,509.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.