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Finding the Fourth Proportional to 16,423.16, 22,655.84 and 9,705.53

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Solution

The fourth proportional to 16,423.16, 22,655.84 and 9,705.53 is: 13,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.16 : 22,655.84 = 9,705.53 : x
  2. Step 2: Convert to fraction form
    16,423.16/22,655.84 = 9,705.53/x
  3. Step 3: Cross multiply
    16,423.16x = 22,655.84 × 9,705.53
  4. Step 4: Simplify right side
    16,423.16x = 219,886,942.91
  5. Step 5: Solve for x
    x = 219,886,942.91/16,423.16
  6. Step 6: Final answer
    x = 13,388.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.