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Finding the Fourth Proportional to 15,689.34, 23,541.71 and 6,913.80

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Solution

The fourth proportional to 15,689.34, 23,541.71 and 6,913.80 is: 10,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.34 : 23,541.71 = 6,913.80 : x
  2. Step 2: Convert to fraction form
    15,689.34/23,541.71 = 6,913.80/x
  3. Step 3: Cross multiply
    15,689.34x = 23,541.71 × 6,913.80
  4. Step 4: Simplify right side
    15,689.34x = 162,762,640.03
  5. Step 5: Solve for x
    x = 162,762,640.03/15,689.34
  6. Step 6: Final answer
    x = 10,374.09

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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.