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Finding the Fourth Proportional to 14,282.59, 21,429.02 and 6,384.45

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Solution

The fourth proportional to 14,282.59, 21,429.02 and 6,384.45 is: 9,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.59 : 21,429.02 = 6,384.45 : x
  2. Step 2: Convert to fraction form
    14,282.59/21,429.02 = 6,384.45/x
  3. Step 3: Cross multiply
    14,282.59x = 21,429.02 × 6,384.45
  4. Step 4: Simplify right side
    14,282.59x = 136,812,506.74
  5. Step 5: Solve for x
    x = 136,812,506.74/14,282.59
  6. Step 6: Final answer
    x = 9,578.97

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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.