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Finding the Fourth Proportional to 24,513, 33,827.94 and 13,335

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Solution

The fourth proportional to 24,513, 33,827.94 and 13,335 is: 18,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513 : 33,827.94 = 13,335 : x
  2. Step 2: Convert to fraction form
    24,513/33,827.94 = 13,335/x
  3. Step 3: Cross multiply
    24,513x = 33,827.94 × 13,335
  4. Step 4: Simplify right side
    24,513x = 451,095,579.90
  5. Step 5: Solve for x
    x = 451,095,579.90/24,513
  6. Step 6: Final answer
    x = 18,402.30

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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.