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Finding the Fourth Proportional to 13,035.10, 19,547.78 and 5,241.28

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Solution

The fourth proportional to 13,035.10, 19,547.78 and 5,241.28 is: 7,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.10 : 19,547.78 = 5,241.28 : x
  2. Step 2: Convert to fraction form
    13,035.10/19,547.78 = 5,241.28/x
  3. Step 3: Cross multiply
    13,035.10x = 19,547.78 × 5,241.28
  4. Step 4: Simplify right side
    13,035.10x = 102,455,388.36
  5. Step 5: Solve for x
    x = 102,455,388.36/13,035.10
  6. Step 6: Final answer
    x = 7,859.96

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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.