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Finding the Fourth Proportional to 25,587.68, 35,309.84 and 14,258.41

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Solution

The fourth proportional to 25,587.68, 35,309.84 and 14,258.41 is: 19,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587.68 : 35,309.84 = 14,258.41 : x
  2. Step 2: Convert to fraction form
    25,587.68/35,309.84 = 14,258.41/x
  3. Step 3: Cross multiply
    25,587.68x = 35,309.84 × 14,258.41
  4. Step 4: Simplify right side
    25,587.68x = 503,462,016.19
  5. Step 5: Solve for x
    x = 503,462,016.19/25,587.68
  6. Step 6: Final answer
    x = 19,675.96

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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.