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Finding the Fourth Proportional to 24,714.86, 34,106.46 and 13,384.35

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Solution

The fourth proportional to 24,714.86, 34,106.46 and 13,384.35 is: 18,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.86 : 34,106.46 = 13,384.35 : x
  2. Step 2: Convert to fraction form
    24,714.86/34,106.46 = 13,384.35/x
  3. Step 3: Cross multiply
    24,714.86x = 34,106.46 × 13,384.35
  4. Step 4: Simplify right side
    24,714.86x = 456,492,797.90
  5. Step 5: Solve for x
    x = 456,492,797.90/24,714.86
  6. Step 6: Final answer
    x = 18,470.38

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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.