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Finding the Fourth Proportional to 12,509.65, 18,749.89 and 7,304.59

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Solution

The fourth proportional to 12,509.65, 18,749.89 and 7,304.59 is: 10,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.65 : 18,749.89 = 7,304.59 : x
  2. Step 2: Convert to fraction form
    12,509.65/18,749.89 = 7,304.59/x
  3. Step 3: Cross multiply
    12,509.65x = 18,749.89 × 7,304.59
  4. Step 4: Simplify right side
    12,509.65x = 136,960,259.00
  5. Step 5: Solve for x
    x = 136,960,259.00/12,509.65
  6. Step 6: Final answer
    x = 10,948.37

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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.