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Finding the Fourth Proportional to 23,555.81, 32,507.02 and 12,946.13

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Solution

The fourth proportional to 23,555.81, 32,507.02 and 12,946.13 is: 17,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,555.81 : 32,507.02 = 12,946.13 : x
  2. Step 2: Convert to fraction form
    23,555.81/32,507.02 = 12,946.13/x
  3. Step 3: Cross multiply
    23,555.81x = 32,507.02 × 12,946.13
  4. Step 4: Simplify right side
    23,555.81x = 420,840,082.38
  5. Step 5: Solve for x
    x = 420,840,082.38/23,555.81
  6. Step 6: Final answer
    x = 17,865.66

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Why These Related Problems?

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