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Finding the Fourth Proportional to 14,100.29, 19,449.58 and 9,071.06

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Solution

The fourth proportional to 14,100.29, 19,449.58 and 9,071.06 is: 12,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.29 : 19,449.58 = 9,071.06 : x
  2. Step 2: Convert to fraction form
    14,100.29/19,449.58 = 9,071.06/x
  3. Step 3: Cross multiply
    14,100.29x = 19,449.58 × 9,071.06
  4. Step 4: Simplify right side
    14,100.29x = 176,428,307.15
  5. Step 5: Solve for x
    x = 176,428,307.15/14,100.29
  6. Step 6: Final answer
    x = 12,512.39

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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.