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Finding the Fourth Proportional to 15,802.72, 23,706.56 and 9,567.28

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Solution

The fourth proportional to 15,802.72, 23,706.56 and 9,567.28 is: 14,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.72 : 23,706.56 = 9,567.28 : x
  2. Step 2: Convert to fraction form
    15,802.72/23,706.56 = 9,567.28/x
  3. Step 3: Cross multiply
    15,802.72x = 23,706.56 × 9,567.28
  4. Step 4: Simplify right side
    15,802.72x = 226,807,297.36
  5. Step 5: Solve for x
    x = 226,807,297.36/15,802.72
  6. Step 6: Final answer
    x = 14,352.42

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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.