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Finding the Fourth Proportional to 23,398.16, 35,106.99 and 10,259.96

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Solution

The fourth proportional to 23,398.16, 35,106.99 and 10,259.96 is: 15,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398.16 : 35,106.99 = 10,259.96 : x
  2. Step 2: Convert to fraction form
    23,398.16/35,106.99 = 10,259.96/x
  3. Step 3: Cross multiply
    23,398.16x = 35,106.99 × 10,259.96
  4. Step 4: Simplify right side
    23,398.16x = 360,196,313.12
  5. Step 5: Solve for x
    x = 360,196,313.12/23,398.16
  6. Step 6: Final answer
    x = 15,394.22

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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.