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Finding the Fourth Proportional to 23,670.96, 35,506.24 and 7,031.16

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Solution

The fourth proportional to 23,670.96, 35,506.24 and 7,031.16 is: 10,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670.96 : 35,506.24 = 7,031.16 : x
  2. Step 2: Convert to fraction form
    23,670.96/35,506.24 = 7,031.16/x
  3. Step 3: Cross multiply
    23,670.96x = 35,506.24 × 7,031.16
  4. Step 4: Simplify right side
    23,670.96x = 249,650,054.44
  5. Step 5: Solve for x
    x = 249,650,054.44/23,670.96
  6. Step 6: Final answer
    x = 10,546.68

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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.