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Finding the Fourth Proportional to 15,706.94, 23,562.02 and 4,613.58

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Solution

The fourth proportional to 15,706.94, 23,562.02 and 4,613.58 is: 6,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.94 : 23,562.02 = 4,613.58 : x
  2. Step 2: Convert to fraction form
    15,706.94/23,562.02 = 4,613.58/x
  3. Step 3: Cross multiply
    15,706.94x = 23,562.02 × 4,613.58
  4. Step 4: Simplify right side
    15,706.94x = 108,705,275.77
  5. Step 5: Solve for x
    x = 108,705,275.77/15,706.94
  6. Step 6: Final answer
    x = 6,920.85

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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.