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Finding the Fourth Proportional to 15,706.71, 23,559.46 and 5,318.46

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Solution

The fourth proportional to 15,706.71, 23,559.46 and 5,318.46 is: 7,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.71 : 23,559.46 = 5,318.46 : x
  2. Step 2: Convert to fraction form
    15,706.71/23,559.46 = 5,318.46/x
  3. Step 3: Cross multiply
    15,706.71x = 23,559.46 × 5,318.46
  4. Step 4: Simplify right side
    15,706.71x = 125,300,032.34
  5. Step 5: Solve for x
    x = 125,300,032.34/15,706.71
  6. Step 6: Final answer
    x = 7,977.48

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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.