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Finding the Fourth Proportional to 12,307.70, 18,457.61 and 5,285.81

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Solution

The fourth proportional to 12,307.70, 18,457.61 and 5,285.81 is: 7,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.70 : 18,457.61 = 5,285.81 : x
  2. Step 2: Convert to fraction form
    12,307.70/18,457.61 = 5,285.81/x
  3. Step 3: Cross multiply
    12,307.70x = 18,457.61 × 5,285.81
  4. Step 4: Simplify right side
    12,307.70x = 97,563,439.23
  5. Step 5: Solve for x
    x = 97,563,439.23/12,307.70
  6. Step 6: Final answer
    x = 7,927.02

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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.