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Finding the Fourth Proportional to 15,770.16, 23,613.48 and 9,521.80

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Solution

The fourth proportional to 15,770.16, 23,613.48 and 9,521.80 is: 14,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.16 : 23,613.48 = 9,521.80 : x
  2. Step 2: Convert to fraction form
    15,770.16/23,613.48 = 9,521.80/x
  3. Step 3: Cross multiply
    15,770.16x = 23,613.48 × 9,521.80
  4. Step 4: Simplify right side
    15,770.16x = 224,842,833.86
  5. Step 5: Solve for x
    x = 224,842,833.86/15,770.16
  6. Step 6: Final answer
    x = 14,257.49

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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.