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Finding the Fourth Proportional to 14,132.51, 19,501.43 and 8,166.11

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Solution

The fourth proportional to 14,132.51, 19,501.43 and 8,166.11 is: 11,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.51 : 19,501.43 = 8,166.11 : x
  2. Step 2: Convert to fraction form
    14,132.51/19,501.43 = 8,166.11/x
  3. Step 3: Cross multiply
    14,132.51x = 19,501.43 × 8,166.11
  4. Step 4: Simplify right side
    14,132.51x = 159,250,684.20
  5. Step 5: Solve for x
    x = 159,250,684.20/14,132.51
  6. Step 6: Final answer
    x = 11,268.39

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Why These Related Problems?

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