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Finding the Fourth Proportional to 24,607, 33,957.69 and 13,429

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Solution

The fourth proportional to 24,607, 33,957.69 and 13,429 is: 18,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607 : 33,957.69 = 13,429 : x
  2. Step 2: Convert to fraction form
    24,607/33,957.69 = 13,429/x
  3. Step 3: Cross multiply
    24,607x = 33,957.69 × 13,429
  4. Step 4: Simplify right side
    24,607x = 456,017,819.01
  5. Step 5: Solve for x
    x = 456,017,819.01/24,607
  6. Step 6: Final answer
    x = 18,532.04

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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.