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Finding the Fourth Proportional to 14,130.40, 19,502.13 and 8,161.60

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Solution

The fourth proportional to 14,130.40, 19,502.13 and 8,161.60 is: 11,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.40 : 19,502.13 = 8,161.60 : x
  2. Step 2: Convert to fraction form
    14,130.40/19,502.13 = 8,161.60/x
  3. Step 3: Cross multiply
    14,130.40x = 19,502.13 × 8,161.60
  4. Step 4: Simplify right side
    14,130.40x = 159,168,584.21
  5. Step 5: Solve for x
    x = 159,168,584.21/14,130.40
  6. Step 6: Final answer
    x = 11,264.27

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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.