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Finding the Fourth Proportional to 14,821.65, 22,240.14 and 6,507.51

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Solution

The fourth proportional to 14,821.65, 22,240.14 and 6,507.51 is: 9,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.65 : 22,240.14 = 6,507.51 : x
  2. Step 2: Convert to fraction form
    14,821.65/22,240.14 = 6,507.51/x
  3. Step 3: Cross multiply
    14,821.65x = 22,240.14 × 6,507.51
  4. Step 4: Simplify right side
    14,821.65x = 144,727,825.65
  5. Step 5: Solve for x
    x = 144,727,825.65/14,821.65
  6. Step 6: Final answer
    x = 9,764.62

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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.