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Finding the Fourth Proportional to 12,307.41, 18,461.12 and 9,830.64

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Solution

The fourth proportional to 12,307.41, 18,461.12 and 9,830.64 is: 14,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.41 : 18,461.12 = 9,830.64 : x
  2. Step 2: Convert to fraction form
    12,307.41/18,461.12 = 9,830.64/x
  3. Step 3: Cross multiply
    12,307.41x = 18,461.12 × 9,830.64
  4. Step 4: Simplify right side
    12,307.41x = 181,484,580.06
  5. Step 5: Solve for x
    x = 181,484,580.06/12,307.41
  6. Step 6: Final answer
    x = 14,745.96

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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.