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Finding the Fourth Proportional to 16,347.40, 24,521.10 and 9,786.40

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Solution

The fourth proportional to 16,347.40, 24,521.10 and 9,786.40 is: 14,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.40 : 24,521.10 = 9,786.40 : x
  2. Step 2: Convert to fraction form
    16,347.40/24,521.10 = 9,786.40/x
  3. Step 3: Cross multiply
    16,347.40x = 24,521.10 × 9,786.40
  4. Step 4: Simplify right side
    16,347.40x = 239,973,293.04
  5. Step 5: Solve for x
    x = 239,973,293.04/16,347.40
  6. Step 6: Final answer
    x = 14,679.60

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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.