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Finding the Fourth Proportional to 14,822.06, 20,420.10 and 9,507.65

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Solution

The fourth proportional to 14,822.06, 20,420.10 and 9,507.65 is: 13,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.06 : 20,420.10 = 9,507.65 : x
  2. Step 2: Convert to fraction form
    14,822.06/20,420.10 = 9,507.65/x
  3. Step 3: Cross multiply
    14,822.06x = 20,420.10 × 9,507.65
  4. Step 4: Simplify right side
    14,822.06x = 194,147,061.66
  5. Step 5: Solve for x
    x = 194,147,061.66/14,822.06
  6. Step 6: Final answer
    x = 13,098.53

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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.