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Finding the Fourth Proportional to 24,298, 33,528.72 and 14,225.92

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Solution

The fourth proportional to 24,298, 33,528.72 and 14,225.92 is: 19,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298 : 33,528.72 = 14,225.92 : x
  2. Step 2: Convert to fraction form
    24,298/33,528.72 = 14,225.92/x
  3. Step 3: Cross multiply
    24,298x = 33,528.72 × 14,225.92
  4. Step 4: Simplify right side
    24,298x = 476,976,888.42
  5. Step 5: Solve for x
    x = 476,976,888.42/24,298
  6. Step 6: Final answer
    x = 19,630.29

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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.