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Finding the Fourth Proportional to 12,854.63, 19,254.60 and 7,583.96

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Solution

The fourth proportional to 12,854.63, 19,254.60 and 7,583.96 is: 11,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.63 : 19,254.60 = 7,583.96 : x
  2. Step 2: Convert to fraction form
    12,854.63/19,254.60 = 7,583.96/x
  3. Step 3: Cross multiply
    12,854.63x = 19,254.60 × 7,583.96
  4. Step 4: Simplify right side
    12,854.63x = 146,026,164.35
  5. Step 5: Solve for x
    x = 146,026,164.35/12,854.63
  6. Step 6: Final answer
    x = 11,359.81

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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.