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Finding the Fourth Proportional to 15,875.82, 23,814.07 and 5,346.16

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Solution

The fourth proportional to 15,875.82, 23,814.07 and 5,346.16 is: 8,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.82 : 23,814.07 = 5,346.16 : x
  2. Step 2: Convert to fraction form
    15,875.82/23,814.07 = 5,346.16/x
  3. Step 3: Cross multiply
    15,875.82x = 23,814.07 × 5,346.16
  4. Step 4: Simplify right side
    15,875.82x = 127,313,755.57
  5. Step 5: Solve for x
    x = 127,313,755.57/15,875.82
  6. Step 6: Final answer
    x = 8,019.35

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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.