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Finding the Fourth Proportional to 19,537.65, 29,314.98 and 9,671.31

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Solution

The fourth proportional to 19,537.65, 29,314.98 and 9,671.31 is: 14,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.65 : 29,314.98 = 9,671.31 : x
  2. Step 2: Convert to fraction form
    19,537.65/29,314.98 = 9,671.31/x
  3. Step 3: Cross multiply
    19,537.65x = 29,314.98 × 9,671.31
  4. Step 4: Simplify right side
    19,537.65x = 283,514,259.22
  5. Step 5: Solve for x
    x = 283,514,259.22/19,537.65
  6. Step 6: Final answer
    x = 14,511.18

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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.