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Finding the Fourth Proportional to 18,752.72, 25,809.72 and 16,070

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Solution

The fourth proportional to 18,752.72, 25,809.72 and 16,070 is: 22,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,752.72 : 25,809.72 = 16,070 : x
  2. Step 2: Convert to fraction form
    18,752.72/25,809.72 = 16,070/x
  3. Step 3: Cross multiply
    18,752.72x = 25,809.72 × 16,070
  4. Step 4: Simplify right side
    18,752.72x = 414,762,200.40
  5. Step 5: Solve for x
    x = 414,762,200.40/18,752.72
  6. Step 6: Final answer
    x = 22,117.44

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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.