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Finding the Fourth Proportional to 14,582, 21,876.64 and 4,193.76

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Solution

The fourth proportional to 14,582, 21,876.64 and 4,193.76 is: 6,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582 : 21,876.64 = 4,193.76 : x
  2. Step 2: Convert to fraction form
    14,582/21,876.64 = 4,193.76/x
  3. Step 3: Cross multiply
    14,582x = 21,876.64 × 4,193.76
  4. Step 4: Simplify right side
    14,582x = 91,745,377.77
  5. Step 5: Solve for x
    x = 91,745,377.77/14,582
  6. Step 6: Final answer
    x = 6,291.69

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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.