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Finding the Fourth Proportional to 16,257.06, 24,405.01 and 9,686.34

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Solution

The fourth proportional to 16,257.06, 24,405.01 and 9,686.34 is: 14,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.06 : 24,405.01 = 9,686.34 : x
  2. Step 2: Convert to fraction form
    16,257.06/24,405.01 = 9,686.34/x
  3. Step 3: Cross multiply
    16,257.06x = 24,405.01 × 9,686.34
  4. Step 4: Simplify right side
    16,257.06x = 236,395,200.35
  5. Step 5: Solve for x
    x = 236,395,200.35/16,257.06
  6. Step 6: Final answer
    x = 14,541.08

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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.