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Finding the Fourth Proportional to 21,707.28, 32,567.98 and 9,859.67

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Solution

The fourth proportional to 21,707.28, 32,567.98 and 9,859.67 is: 14,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.28 : 32,567.98 = 9,859.67 : x
  2. Step 2: Convert to fraction form
    21,707.28/32,567.98 = 9,859.67/x
  3. Step 3: Cross multiply
    21,707.28x = 32,567.98 × 9,859.67
  4. Step 4: Simplify right side
    21,707.28x = 321,109,372.53
  5. Step 5: Solve for x
    x = 321,109,372.53/21,707.28
  6. Step 6: Final answer
    x = 14,792.70

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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.