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Finding the Fourth Proportional to 13,042.54, 19,533.39 and 9,523.82

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Solution

The fourth proportional to 13,042.54, 19,533.39 and 9,523.82 is: 14,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.54 : 19,533.39 = 9,523.82 : x
  2. Step 2: Convert to fraction form
    13,042.54/19,533.39 = 9,523.82/x
  3. Step 3: Cross multiply
    13,042.54x = 19,533.39 × 9,523.82
  4. Step 4: Simplify right side
    13,042.54x = 186,032,490.35
  5. Step 5: Solve for x
    x = 186,032,490.35/13,042.54
  6. Step 6: Final answer
    x = 14,263.52

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