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Finding the Fourth Proportional to 14,507.96, 20,016.12 and 10,030.10

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Solution

The fourth proportional to 14,507.96, 20,016.12 and 10,030.10 is: 13,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.96 : 20,016.12 = 10,030.10 : x
  2. Step 2: Convert to fraction form
    14,507.96/20,016.12 = 10,030.10/x
  3. Step 3: Cross multiply
    14,507.96x = 20,016.12 × 10,030.10
  4. Step 4: Simplify right side
    14,507.96x = 200,763,685.21
  5. Step 5: Solve for x
    x = 200,763,685.21/14,507.96
  6. Step 6: Final answer
    x = 13,838.17

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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.