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Finding the Fourth Proportional to 22,855.76, 34,303.12 and 9,014.48

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Solution

The fourth proportional to 22,855.76, 34,303.12 and 9,014.48 is: 13,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.76 : 34,303.12 = 9,014.48 : x
  2. Step 2: Convert to fraction form
    22,855.76/34,303.12 = 9,014.48/x
  3. Step 3: Cross multiply
    22,855.76x = 34,303.12 × 9,014.48
  4. Step 4: Simplify right side
    22,855.76x = 309,224,789.18
  5. Step 5: Solve for x
    x = 309,224,789.18/22,855.76
  6. Step 6: Final answer
    x = 13,529.40

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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.