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Finding the Fourth Proportional to 16,024.16, 24,029.80 and 6,657.84

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Solution

The fourth proportional to 16,024.16, 24,029.80 and 6,657.84 is: 9,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.16 : 24,029.80 = 6,657.84 : x
  2. Step 2: Convert to fraction form
    16,024.16/24,029.80 = 6,657.84/x
  3. Step 3: Cross multiply
    16,024.16x = 24,029.80 × 6,657.84
  4. Step 4: Simplify right side
    16,024.16x = 159,986,563.63
  5. Step 5: Solve for x
    x = 159,986,563.63/16,024.16
  6. Step 6: Final answer
    x = 9,984.08

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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.