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Finding the Fourth Proportional to 14,442.63, 19,930.82 and 7,818.63

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Solution

The fourth proportional to 14,442.63, 19,930.82 and 7,818.63 is: 10,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.63 : 19,930.82 = 7,818.63 : x
  2. Step 2: Convert to fraction form
    14,442.63/19,930.82 = 7,818.63/x
  3. Step 3: Cross multiply
    14,442.63x = 19,930.82 × 7,818.63
  4. Step 4: Simplify right side
    14,442.63x = 155,831,707.18
  5. Step 5: Solve for x
    x = 155,831,707.18/14,442.63
  6. Step 6: Final answer
    x = 10,789.70

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1.5x scale

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.