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Finding the Fourth Proportional to 15,809.19, 23,713.68 and 6,449.16

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Solution

The fourth proportional to 15,809.19, 23,713.68 and 6,449.16 is: 9,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.19 : 23,713.68 = 6,449.16 : x
  2. Step 2: Convert to fraction form
    15,809.19/23,713.68 = 6,449.16/x
  3. Step 3: Cross multiply
    15,809.19x = 23,713.68 × 6,449.16
  4. Step 4: Simplify right side
    15,809.19x = 152,933,316.51
  5. Step 5: Solve for x
    x = 152,933,316.51/15,809.19
  6. Step 6: Final answer
    x = 9,673.70

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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.