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Finding the Fourth Proportional to 14,513.30, 21,752.94 and 6,705.71

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Solution

The fourth proportional to 14,513.30, 21,752.94 and 6,705.71 is: 10,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.30 : 21,752.94 = 6,705.71 : x
  2. Step 2: Convert to fraction form
    14,513.30/21,752.94 = 6,705.71/x
  3. Step 3: Cross multiply
    14,513.30x = 21,752.94 × 6,705.71
  4. Step 4: Simplify right side
    14,513.30x = 145,868,907.29
  5. Step 5: Solve for x
    x = 145,868,907.29/14,513.30
  6. Step 6: Final answer
    x = 10,050.71

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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.