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Finding the Fourth Proportional to 12,303.07, 18,457.70 and 3,538

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Solution

The fourth proportional to 12,303.07, 18,457.70 and 3,538 is: 5,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.07 : 18,457.70 = 3,538 : x
  2. Step 2: Convert to fraction form
    12,303.07/18,457.70 = 3,538/x
  3. Step 3: Cross multiply
    12,303.07x = 18,457.70 × 3,538
  4. Step 4: Simplify right side
    12,303.07x = 65,303,342.60
  5. Step 5: Solve for x
    x = 65,303,342.60/12,303.07
  6. Step 6: Final answer
    x = 5,307.89

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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.