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Finding the Fourth Proportional to 16,342.80, 22,560 and 11,044.80

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Solution

The fourth proportional to 16,342.80, 22,560 and 11,044.80 is: 15,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.80 : 22,560 = 11,044.80 : x
  2. Step 2: Convert to fraction form
    16,342.80/22,560 = 11,044.80/x
  3. Step 3: Cross multiply
    16,342.80x = 22,560 × 11,044.80
  4. Step 4: Simplify right side
    16,342.80x = 249,170,688.00
  5. Step 5: Solve for x
    x = 249,170,688.00/16,342.80
  6. Step 6: Final answer
    x = 15,246.51

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1.5x scale

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.