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Finding the Fourth Proportional to 17,975.42, 24,807.40 and 10,423.70

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Solution

The fourth proportional to 17,975.42, 24,807.40 and 10,423.70 is: 14,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.42 : 24,807.40 = 10,423.70 : x
  2. Step 2: Convert to fraction form
    17,975.42/24,807.40 = 10,423.70/x
  3. Step 3: Cross multiply
    17,975.42x = 24,807.40 × 10,423.70
  4. Step 4: Simplify right side
    17,975.42x = 258,584,895.38
  5. Step 5: Solve for x
    x = 258,584,895.38/17,975.42
  6. Step 6: Final answer
    x = 14,385.47

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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.