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Finding the Fourth Proportional to 14,458.22, 19,952.07 and 8,170.46

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Solution

The fourth proportional to 14,458.22, 19,952.07 and 8,170.46 is: 11,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.22 : 19,952.07 = 8,170.46 : x
  2. Step 2: Convert to fraction form
    14,458.22/19,952.07 = 8,170.46/x
  3. Step 3: Cross multiply
    14,458.22x = 19,952.07 × 8,170.46
  4. Step 4: Simplify right side
    14,458.22x = 163,017,490.09
  5. Step 5: Solve for x
    x = 163,017,490.09/14,458.22
  6. Step 6: Final answer
    x = 11,275.08

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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.