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Finding the Fourth Proportional to 12,307.66, 18,423.82 and 9,945.70

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Solution

The fourth proportional to 12,307.66, 18,423.82 and 9,945.70 is: 14,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.66 : 18,423.82 = 9,945.70 : x
  2. Step 2: Convert to fraction form
    12,307.66/18,423.82 = 9,945.70/x
  3. Step 3: Cross multiply
    12,307.66x = 18,423.82 × 9,945.70
  4. Step 4: Simplify right side
    12,307.66x = 183,237,786.57
  5. Step 5: Solve for x
    x = 183,237,786.57/12,307.66
  6. Step 6: Final answer
    x = 14,888.11

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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.