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Finding the Fourth Proportional to 14,297.81, 19,706.34 and 9,509.19

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Solution

The fourth proportional to 14,297.81, 19,706.34 and 9,509.19 is: 13,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.81 : 19,706.34 = 9,509.19 : x
  2. Step 2: Convert to fraction form
    14,297.81/19,706.34 = 9,509.19/x
  3. Step 3: Cross multiply
    14,297.81x = 19,706.34 × 9,509.19
  4. Step 4: Simplify right side
    14,297.81x = 187,391,283.72
  5. Step 5: Solve for x
    x = 187,391,283.72/14,297.81
  6. Step 6: Final answer
    x = 13,106.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.