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Finding the Fourth Proportional to 16,875.69, 23,288.45 and 9,423.69

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Solution

The fourth proportional to 16,875.69, 23,288.45 and 9,423.69 is: 13,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875.69 : 23,288.45 = 9,423.69 : x
  2. Step 2: Convert to fraction form
    16,875.69/23,288.45 = 9,423.69/x
  3. Step 3: Cross multiply
    16,875.69x = 23,288.45 × 9,423.69
  4. Step 4: Simplify right side
    16,875.69x = 219,463,133.38
  5. Step 5: Solve for x
    x = 219,463,133.38/16,875.69
  6. Step 6: Final answer
    x = 13,004.69

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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.