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Finding the Fourth Proportional to 19,715.89, 29,549.22 and 9,857.99

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Solution

The fourth proportional to 19,715.89, 29,549.22 and 9,857.99 is: 14,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.89 : 29,549.22 = 9,857.99 : x
  2. Step 2: Convert to fraction form
    19,715.89/29,549.22 = 9,857.99/x
  3. Step 3: Cross multiply
    19,715.89x = 29,549.22 × 9,857.99
  4. Step 4: Simplify right side
    19,715.89x = 291,295,841.41
  5. Step 5: Solve for x
    x = 291,295,841.41/19,715.89
  6. Step 6: Final answer
    x = 14,774.67

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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.