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Finding the Fourth Proportional to 14,409.81, 21,604.21 and 9,718.16

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Solution

The fourth proportional to 14,409.81, 21,604.21 and 9,718.16 is: 14,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.81 : 21,604.21 = 9,718.16 : x
  2. Step 2: Convert to fraction form
    14,409.81/21,604.21 = 9,718.16/x
  3. Step 3: Cross multiply
    14,409.81x = 21,604.21 × 9,718.16
  4. Step 4: Simplify right side
    14,409.81x = 209,953,169.45
  5. Step 5: Solve for x
    x = 209,953,169.45/14,409.81
  6. Step 6: Final answer
    x = 14,570.16

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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.