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Finding the Fourth Proportional to 19,381.65, 29,038.02 and 8,112.16

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Solution

The fourth proportional to 19,381.65, 29,038.02 and 8,112.16 is: 12,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381.65 : 29,038.02 = 8,112.16 : x
  2. Step 2: Convert to fraction form
    19,381.65/29,038.02 = 8,112.16/x
  3. Step 3: Cross multiply
    19,381.65x = 29,038.02 × 8,112.16
  4. Step 4: Simplify right side
    19,381.65x = 235,561,064.32
  5. Step 5: Solve for x
    x = 235,561,064.32/19,381.65
  6. Step 6: Final answer
    x = 12,153.82

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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.