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Finding the Fourth Proportional to 13,237.70, 19,827.38 and 8,032.64

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Solution

The fourth proportional to 13,237.70, 19,827.38 and 8,032.64 is: 12,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.70 : 19,827.38 = 8,032.64 : x
  2. Step 2: Convert to fraction form
    13,237.70/19,827.38 = 8,032.64/x
  3. Step 3: Cross multiply
    13,237.70x = 19,827.38 × 8,032.64
  4. Step 4: Simplify right side
    13,237.70x = 159,266,126.63
  5. Step 5: Solve for x
    x = 159,266,126.63/13,237.70
  6. Step 6: Final answer
    x = 12,031.26

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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.