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Finding the Fourth Proportional to 15,727.26, 23,590.72 and 6,364.74

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Solution

The fourth proportional to 15,727.26, 23,590.72 and 6,364.74 is: 9,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.26 : 23,590.72 = 6,364.74 : x
  2. Step 2: Convert to fraction form
    15,727.26/23,590.72 = 6,364.74/x
  3. Step 3: Cross multiply
    15,727.26x = 23,590.72 × 6,364.74
  4. Step 4: Simplify right side
    15,727.26x = 150,148,818.49
  5. Step 5: Solve for x
    x = 150,148,818.49/15,727.26
  6. Step 6: Final answer
    x = 9,547.04

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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.