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Finding the Fourth Proportional to 14,417.16, 21,610.74 and 6,090.24

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Solution

The fourth proportional to 14,417.16, 21,610.74 and 6,090.24 is: 9,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.16 : 21,610.74 = 6,090.24 : x
  2. Step 2: Convert to fraction form
    14,417.16/21,610.74 = 6,090.24/x
  3. Step 3: Cross multiply
    14,417.16x = 21,610.74 × 6,090.24
  4. Step 4: Simplify right side
    14,417.16x = 131,614,593.18
  5. Step 5: Solve for x
    x = 131,614,593.18/14,417.16
  6. Step 6: Final answer
    x = 9,129.02

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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.