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Finding the Fourth Proportional to 23,798.84, 32,841.84 and 13,727.28

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Solution

The fourth proportional to 23,798.84, 32,841.84 and 13,727.28 is: 18,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.84 : 32,841.84 = 13,727.28 : x
  2. Step 2: Convert to fraction form
    23,798.84/32,841.84 = 13,727.28/x
  3. Step 3: Cross multiply
    23,798.84x = 32,841.84 × 13,727.28
  4. Step 4: Simplify right side
    23,798.84x = 450,829,133.40
  5. Step 5: Solve for x
    x = 450,829,133.40/23,798.84
  6. Step 6: Final answer
    x = 18,943.32

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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.