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Finding the Fourth Proportional to 16,580, 24,870 and 4,893.06

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Solution

The fourth proportional to 16,580, 24,870 and 4,893.06 is: 7,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580 : 24,870 = 4,893.06 : x
  2. Step 2: Convert to fraction form
    16,580/24,870 = 4,893.06/x
  3. Step 3: Cross multiply
    16,580x = 24,870 × 4,893.06
  4. Step 4: Simplify right side
    16,580x = 121,690,402.20
  5. Step 5: Solve for x
    x = 121,690,402.20/16,580
  6. Step 6: Final answer
    x = 7,339.59

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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.