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Finding the Fourth Proportional to 15,705.36, 21,674.42 and 9,740.99

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Solution

The fourth proportional to 15,705.36, 21,674.42 and 9,740.99 is: 13,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.36 : 21,674.42 = 9,740.99 : x
  2. Step 2: Convert to fraction form
    15,705.36/21,674.42 = 9,740.99/x
  3. Step 3: Cross multiply
    15,705.36x = 21,674.42 × 9,740.99
  4. Step 4: Simplify right side
    15,705.36x = 211,130,350.49
  5. Step 5: Solve for x
    x = 211,130,350.49/15,705.36
  6. Step 6: Final answer
    x = 13,443.20

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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.