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Finding the Fourth Proportional to 14,510.32, 21,765.06 and 6,186.14

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Solution

The fourth proportional to 14,510.32, 21,765.06 and 6,186.14 is: 9,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.32 : 21,765.06 = 6,186.14 : x
  2. Step 2: Convert to fraction form
    14,510.32/21,765.06 = 6,186.14/x
  3. Step 3: Cross multiply
    14,510.32x = 21,765.06 × 6,186.14
  4. Step 4: Simplify right side
    14,510.32x = 134,641,708.27
  5. Step 5: Solve for x
    x = 134,641,708.27/14,510.32
  6. Step 6: Final answer
    x = 9,279.03

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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.