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Finding the Fourth Proportional to 24,582, 33,926.06 and 13,973.22

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Solution

The fourth proportional to 24,582, 33,926.06 and 13,973.22 is: 19,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582 : 33,926.06 = 13,973.22 : x
  2. Step 2: Convert to fraction form
    24,582/33,926.06 = 13,973.22/x
  3. Step 3: Cross multiply
    24,582x = 33,926.06 × 13,973.22
  4. Step 4: Simplify right side
    24,582x = 474,056,230.25
  5. Step 5: Solve for x
    x = 474,056,230.25/24,582
  6. Step 6: Final answer
    x = 19,284.69

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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.