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Finding the Fourth Proportional to 14,085.20, 19,437.08 and 8,117.12

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Solution

The fourth proportional to 14,085.20, 19,437.08 and 8,117.12 is: 11,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.20 : 19,437.08 = 8,117.12 : x
  2. Step 2: Convert to fraction form
    14,085.20/19,437.08 = 8,117.12/x
  3. Step 3: Cross multiply
    14,085.20x = 19,437.08 × 8,117.12
  4. Step 4: Simplify right side
    14,085.20x = 157,773,110.81
  5. Step 5: Solve for x
    x = 157,773,110.81/14,085.20
  6. Step 6: Final answer
    x = 11,201.34

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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.