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Finding the Fourth Proportional to 20,153.68, 30,199.76 and 8,460.56

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Solution

The fourth proportional to 20,153.68, 30,199.76 and 8,460.56 is: 12,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.68 : 30,199.76 = 8,460.56 : x
  2. Step 2: Convert to fraction form
    20,153.68/30,199.76 = 8,460.56/x
  3. Step 3: Cross multiply
    20,153.68x = 30,199.76 × 8,460.56
  4. Step 4: Simplify right side
    20,153.68x = 255,506,881.47
  5. Step 5: Solve for x
    x = 255,506,881.47/20,153.68
  6. Step 6: Final answer
    x = 12,677.93

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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.