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Finding the Fourth Proportional to 16,582.63, 24,866.14 and 6,714.40

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Solution

The fourth proportional to 16,582.63, 24,866.14 and 6,714.40 is: 10,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.63 : 24,866.14 = 6,714.40 : x
  2. Step 2: Convert to fraction form
    16,582.63/24,866.14 = 6,714.40/x
  3. Step 3: Cross multiply
    16,582.63x = 24,866.14 × 6,714.40
  4. Step 4: Simplify right side
    16,582.63x = 166,961,210.42
  5. Step 5: Solve for x
    x = 166,961,210.42/16,582.63
  6. Step 6: Final answer
    x = 10,068.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.