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Finding the Fourth Proportional to 15,706.42, 23,567.32 and 7,387.28

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Solution

The fourth proportional to 15,706.42, 23,567.32 and 7,387.28 is: 11,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.42 : 23,567.32 = 7,387.28 : x
  2. Step 2: Convert to fraction form
    15,706.42/23,567.32 = 7,387.28/x
  3. Step 3: Cross multiply
    15,706.42x = 23,567.32 × 7,387.28
  4. Step 4: Simplify right side
    15,706.42x = 174,098,274.02
  5. Step 5: Solve for x
    x = 174,098,274.02/15,706.42
  6. Step 6: Final answer
    x = 11,084.53

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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.