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Finding the Fourth Proportional to 16,949.64, 25,430.46 and 7,588.92

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Solution

The fourth proportional to 16,949.64, 25,430.46 and 7,588.92 is: 11,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949.64 : 25,430.46 = 7,588.92 : x
  2. Step 2: Convert to fraction form
    16,949.64/25,430.46 = 7,588.92/x
  3. Step 3: Cross multiply
    16,949.64x = 25,430.46 × 7,588.92
  4. Step 4: Simplify right side
    16,949.64x = 192,989,726.50
  5. Step 5: Solve for x
    x = 192,989,726.50/16,949.64
  6. Step 6: Final answer
    x = 11,386.07

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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.