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Finding the Fourth Proportional to 10,258.80, 14,064.80 and 10,071.96

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Solution

The fourth proportional to 10,258.80, 14,064.80 and 10,071.96 is: 13,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.80 : 14,064.80 = 10,071.96 : x
  2. Step 2: Convert to fraction form
    10,258.80/14,064.80 = 10,071.96/x
  3. Step 3: Cross multiply
    10,258.80x = 14,064.80 × 10,071.96
  4. Step 4: Simplify right side
    10,258.80x = 141,660,103.01
  5. Step 5: Solve for x
    x = 141,660,103.01/10,258.80
  6. Step 6: Final answer
    x = 13,808.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.