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Finding the Fourth Proportional to 14,803.65, 20,442.68 and 9,507.69

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Solution

The fourth proportional to 14,803.65, 20,442.68 and 9,507.69 is: 13,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.65 : 20,442.68 = 9,507.69 : x
  2. Step 2: Convert to fraction form
    14,803.65/20,442.68 = 9,507.69/x
  3. Step 3: Cross multiply
    14,803.65x = 20,442.68 × 9,507.69
  4. Step 4: Simplify right side
    14,803.65x = 194,362,616.67
  5. Step 5: Solve for x
    x = 194,362,616.67/14,803.65
  6. Step 6: Final answer
    x = 13,129.37

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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.