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Finding the Fourth Proportional to 30,421.40, 45,621.03 and 11,691.77

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Solution

The fourth proportional to 30,421.40, 45,621.03 and 11,691.77 is: 17,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.40 : 45,621.03 = 11,691.77 : x
  2. Step 2: Convert to fraction form
    30,421.40/45,621.03 = 11,691.77/x
  3. Step 3: Cross multiply
    30,421.40x = 45,621.03 × 11,691.77
  4. Step 4: Simplify right side
    30,421.40x = 533,390,589.92
  5. Step 5: Solve for x
    x = 533,390,589.92/30,421.40
  6. Step 6: Final answer
    x = 17,533.40

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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.