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Finding the Fourth Proportional to 15,666.50, 23,498.64 and 7,348.41

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Solution

The fourth proportional to 15,666.50, 23,498.64 and 7,348.41 is: 11,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.50 : 23,498.64 = 7,348.41 : x
  2. Step 2: Convert to fraction form
    15,666.50/23,498.64 = 7,348.41/x
  3. Step 3: Cross multiply
    15,666.50x = 23,498.64 × 7,348.41
  4. Step 4: Simplify right side
    15,666.50x = 172,677,641.16
  5. Step 5: Solve for x
    x = 172,677,641.16/15,666.50
  6. Step 6: Final answer
    x = 11,022.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.