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Finding the Fourth Proportional to 19,827.59, 29,721.24 and 12,437.24

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Solution

The fourth proportional to 19,827.59, 29,721.24 and 12,437.24 is: 18,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.59 : 29,721.24 = 12,437.24 : x
  2. Step 2: Convert to fraction form
    19,827.59/29,721.24 = 12,437.24/x
  3. Step 3: Cross multiply
    19,827.59x = 29,721.24 × 12,437.24
  4. Step 4: Simplify right side
    19,827.59x = 369,650,046.37
  5. Step 5: Solve for x
    x = 369,650,046.37/19,827.59
  6. Step 6: Final answer
    x = 18,643.22

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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.