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Finding the Fourth Proportional to 12,280.34, 18,420.64 and 9,830.73

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Solution

The fourth proportional to 12,280.34, 18,420.64 and 9,830.73 is: 14,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.34 : 18,420.64 = 9,830.73 : x
  2. Step 2: Convert to fraction form
    12,280.34/18,420.64 = 9,830.73/x
  3. Step 3: Cross multiply
    12,280.34x = 18,420.64 × 9,830.73
  4. Step 4: Simplify right side
    12,280.34x = 181,088,384.32
  5. Step 5: Solve for x
    x = 181,088,384.32/12,280.34
  6. Step 6: Final answer
    x = 14,746.20

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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.