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Finding the Fourth Proportional to 30,726.65, 46,090.58 and 9,666.24

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Solution

The fourth proportional to 30,726.65, 46,090.58 and 9,666.24 is: 14,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.65 : 46,090.58 = 9,666.24 : x
  2. Step 2: Convert to fraction form
    30,726.65/46,090.58 = 9,666.24/x
  3. Step 3: Cross multiply
    30,726.65x = 46,090.58 × 9,666.24
  4. Step 4: Simplify right side
    30,726.65x = 445,522,608.02
  5. Step 5: Solve for x
    x = 445,522,608.02/30,726.65
  6. Step 6: Final answer
    x = 14,499.55

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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.