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Finding the Fourth Proportional to 22,323.96, 30,809.52 and 14,265

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Solution

The fourth proportional to 22,323.96, 30,809.52 and 14,265 is: 19,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.96 : 30,809.52 = 14,265 : x
  2. Step 2: Convert to fraction form
    22,323.96/30,809.52 = 14,265/x
  3. Step 3: Cross multiply
    22,323.96x = 30,809.52 × 14,265
  4. Step 4: Simplify right side
    22,323.96x = 439,497,802.80
  5. Step 5: Solve for x
    x = 439,497,802.80/22,323.96
  6. Step 6: Final answer
    x = 19,687.27

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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.