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Finding the Fourth Proportional to 30,143.54, 45,209.14 and 11,417.12

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Solution

The fourth proportional to 30,143.54, 45,209.14 and 11,417.12 is: 17,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.54 : 45,209.14 = 11,417.12 : x
  2. Step 2: Convert to fraction form
    30,143.54/45,209.14 = 11,417.12/x
  3. Step 3: Cross multiply
    30,143.54x = 45,209.14 × 11,417.12
  4. Step 4: Simplify right side
    30,143.54x = 516,158,091.42
  5. Step 5: Solve for x
    x = 516,158,091.42/30,143.54
  6. Step 6: Final answer
    x = 17,123.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.