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Finding the Fourth Proportional to 20,569.13, 30,853.70 and 7,421.50

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Solution

The fourth proportional to 20,569.13, 30,853.70 and 7,421.50 is: 11,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.13 : 30,853.70 = 7,421.50 : x
  2. Step 2: Convert to fraction form
    20,569.13/30,853.70 = 7,421.50/x
  3. Step 3: Cross multiply
    20,569.13x = 30,853.70 × 7,421.50
  4. Step 4: Simplify right side
    20,569.13x = 228,980,734.55
  5. Step 5: Solve for x
    x = 228,980,734.55/20,569.13
  6. Step 6: Final answer
    x = 11,132.25

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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.