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Finding the Fourth Proportional to 21,209.42, 31,792.26 and 9,525.98

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Solution

The fourth proportional to 21,209.42, 31,792.26 and 9,525.98 is: 14,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.42 : 31,792.26 = 9,525.98 : x
  2. Step 2: Convert to fraction form
    21,209.42/31,792.26 = 9,525.98/x
  3. Step 3: Cross multiply
    21,209.42x = 31,792.26 × 9,525.98
  4. Step 4: Simplify right side
    21,209.42x = 302,852,432.91
  5. Step 5: Solve for x
    x = 302,852,432.91/21,209.42
  6. Step 6: Final answer
    x = 14,279.15

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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.