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Finding the Fourth Proportional to 14,132.16, 21,182.09 and 7,895.06

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Solution

The fourth proportional to 14,132.16, 21,182.09 and 7,895.06 is: 11,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.16 : 21,182.09 = 7,895.06 : x
  2. Step 2: Convert to fraction form
    14,132.16/21,182.09 = 7,895.06/x
  3. Step 3: Cross multiply
    14,132.16x = 21,182.09 × 7,895.06
  4. Step 4: Simplify right side
    14,132.16x = 167,233,871.48
  5. Step 5: Solve for x
    x = 167,233,871.48/14,132.16
  6. Step 6: Final answer
    x = 11,833.57

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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.