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Finding the Fourth Proportional to 30,007.64, 41,410.18 and 16,577.96

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Solution

The fourth proportional to 30,007.64, 41,410.18 and 16,577.96 is: 22,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.64 : 41,410.18 = 16,577.96 : x
  2. Step 2: Convert to fraction form
    30,007.64/41,410.18 = 16,577.96/x
  3. Step 3: Cross multiply
    30,007.64x = 41,410.18 × 16,577.96
  4. Step 4: Simplify right side
    30,007.64x = 686,496,307.63
  5. Step 5: Solve for x
    x = 686,496,307.63/30,007.64
  6. Step 6: Final answer
    x = 22,877.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.