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Finding the Fourth Proportional to 21,814.74, 30,095.01 and 14,258.25

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Solution

The fourth proportional to 21,814.74, 30,095.01 and 14,258.25 is: 19,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.74 : 30,095.01 = 14,258.25 : x
  2. Step 2: Convert to fraction form
    21,814.74/30,095.01 = 14,258.25/x
  3. Step 3: Cross multiply
    21,814.74x = 30,095.01 × 14,258.25
  4. Step 4: Simplify right side
    21,814.74x = 429,102,176.33
  5. Step 5: Solve for x
    x = 429,102,176.33/21,814.74
  6. Step 6: Final answer
    x = 19,670.29

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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.