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Finding the Fourth Proportional to 14,164.60, 19,547.27 and 7,704.29

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Solution

The fourth proportional to 14,164.60, 19,547.27 and 7,704.29 is: 10,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.60 : 19,547.27 = 7,704.29 : x
  2. Step 2: Convert to fraction form
    14,164.60/19,547.27 = 7,704.29/x
  3. Step 3: Cross multiply
    14,164.60x = 19,547.27 × 7,704.29
  4. Step 4: Simplify right side
    14,164.60x = 150,597,836.79
  5. Step 5: Solve for x
    x = 150,597,836.79/14,164.60
  6. Step 6: Final answer
    x = 10,631.99

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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.