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Finding the Fourth Proportional to 16,026.15, 24,029.91 and 7,702.46

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Solution

The fourth proportional to 16,026.15, 24,029.91 and 7,702.46 is: 11,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.15 : 24,029.91 = 7,702.46 : x
  2. Step 2: Convert to fraction form
    16,026.15/24,029.91 = 7,702.46/x
  3. Step 3: Cross multiply
    16,026.15x = 24,029.91 × 7,702.46
  4. Step 4: Simplify right side
    16,026.15x = 185,089,300.43
  5. Step 5: Solve for x
    x = 185,089,300.43/16,026.15
  6. Step 6: Final answer
    x = 11,549.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.