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Finding the Fourth Proportional to 15,825.12, 23,749.35 and 7,505.16

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Solution

The fourth proportional to 15,825.12, 23,749.35 and 7,505.16 is: 11,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.12 : 23,749.35 = 7,505.16 : x
  2. Step 2: Convert to fraction form
    15,825.12/23,749.35 = 7,505.16/x
  3. Step 3: Cross multiply
    15,825.12x = 23,749.35 × 7,505.16
  4. Step 4: Simplify right side
    15,825.12x = 178,242,688.03
  5. Step 5: Solve for x
    x = 178,242,688.03/15,825.12
  6. Step 6: Final answer
    x = 11,263.27

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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.