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Finding the Fourth Proportional to 12,534.24, 18,802.08 and 3,300

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Solution

The fourth proportional to 12,534.24, 18,802.08 and 3,300 is: 4,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.24 : 18,802.08 = 3,300 : x
  2. Step 2: Convert to fraction form
    12,534.24/18,802.08 = 3,300/x
  3. Step 3: Cross multiply
    12,534.24x = 18,802.08 × 3,300
  4. Step 4: Simplify right side
    12,534.24x = 62,046,864.00
  5. Step 5: Solve for x
    x = 62,046,864.00/12,534.24
  6. Step 6: Final answer
    x = 4,950.19

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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.