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Finding the Fourth Proportional to 14,549.49, 21,806.56 and 6,641.16

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Solution

The fourth proportional to 14,549.49, 21,806.56 and 6,641.16 is: 9,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.49 : 21,806.56 = 6,641.16 : x
  2. Step 2: Convert to fraction form
    14,549.49/21,806.56 = 6,641.16/x
  3. Step 3: Cross multiply
    14,549.49x = 21,806.56 × 6,641.16
  4. Step 4: Simplify right side
    14,549.49x = 144,820,780.54
  5. Step 5: Solve for x
    x = 144,820,780.54/14,549.49
  6. Step 6: Final answer
    x = 9,953.67

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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.