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Finding the Fourth Proportional to 14,780.16, 20,396.74 and 8,065.84

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Solution

The fourth proportional to 14,780.16, 20,396.74 and 8,065.84 is: 11,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.16 : 20,396.74 = 8,065.84 : x
  2. Step 2: Convert to fraction form
    14,780.16/20,396.74 = 8,065.84/x
  3. Step 3: Cross multiply
    14,780.16x = 20,396.74 × 8,065.84
  4. Step 4: Simplify right side
    14,780.16x = 164,516,841.36
  5. Step 5: Solve for x
    x = 164,516,841.36/14,780.16
  6. Step 6: Final answer
    x = 11,130.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.