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Finding the Fourth Proportional to 15,675.12, 23,478.12 and 9,506.16

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Solution

The fourth proportional to 15,675.12, 23,478.12 and 9,506.16 is: 14,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.12 : 23,478.12 = 9,506.16 : x
  2. Step 2: Convert to fraction form
    15,675.12/23,478.12 = 9,506.16/x
  3. Step 3: Cross multiply
    15,675.12x = 23,478.12 × 9,506.16
  4. Step 4: Simplify right side
    15,675.12x = 223,186,765.22
  5. Step 5: Solve for x
    x = 223,186,765.22/15,675.12
  6. Step 6: Final answer
    x = 14,238.28

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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.