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Finding the Fourth Proportional to 16,392.30, 24,594.66 and 9,823.20

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Solution

The fourth proportional to 16,392.30, 24,594.66 and 9,823.20 is: 14,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392.30 : 24,594.66 = 9,823.20 : x
  2. Step 2: Convert to fraction form
    16,392.30/24,594.66 = 9,823.20/x
  3. Step 3: Cross multiply
    16,392.30x = 24,594.66 × 9,823.20
  4. Step 4: Simplify right side
    16,392.30x = 241,598,264.11
  5. Step 5: Solve for x
    x = 241,598,264.11/16,392.30
  6. Step 6: Final answer
    x = 14,738.52

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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.