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Finding the Fourth Proportional to 14,499.64, 21,744.34 and 6,287.16

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Solution

The fourth proportional to 14,499.64, 21,744.34 and 6,287.16 is: 9,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499.64 : 21,744.34 = 6,287.16 : x
  2. Step 2: Convert to fraction form
    14,499.64/21,744.34 = 6,287.16/x
  3. Step 3: Cross multiply
    14,499.64x = 21,744.34 × 6,287.16
  4. Step 4: Simplify right side
    14,499.64x = 136,710,144.67
  5. Step 5: Solve for x
    x = 136,710,144.67/14,499.64
  6. Step 6: Final answer
    x = 9,428.52

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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.