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Finding the Fourth Proportional to 14,695.68, 20,275.06 and 9,659.51

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Solution

The fourth proportional to 14,695.68, 20,275.06 and 9,659.51 is: 13,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695.68 : 20,275.06 = 9,659.51 : x
  2. Step 2: Convert to fraction form
    14,695.68/20,275.06 = 9,659.51/x
  3. Step 3: Cross multiply
    14,695.68x = 20,275.06 × 9,659.51
  4. Step 4: Simplify right side
    14,695.68x = 195,846,995.15
  5. Step 5: Solve for x
    x = 195,846,995.15/14,695.68
  6. Step 6: Final answer
    x = 13,326.84

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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.