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Finding the Fourth Proportional to 14,291.10, 19,701.16 and 10,028.96

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Solution

The fourth proportional to 14,291.10, 19,701.16 and 10,028.96 is: 13,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.10 : 19,701.16 = 10,028.96 : x
  2. Step 2: Convert to fraction form
    14,291.10/19,701.16 = 10,028.96/x
  3. Step 3: Cross multiply
    14,291.10x = 19,701.16 × 10,028.96
  4. Step 4: Simplify right side
    14,291.10x = 197,582,095.45
  5. Step 5: Solve for x
    x = 197,582,095.45/14,291.10
  6. Step 6: Final answer
    x = 13,825.53

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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.