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Finding the Fourth Proportional to 12,500.51, 18,741.47 and 7,569

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Solution

The fourth proportional to 12,500.51, 18,741.47 and 7,569 is: 11,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500.51 : 18,741.47 = 7,569 : x
  2. Step 2: Convert to fraction form
    12,500.51/18,741.47 = 7,569/x
  3. Step 3: Cross multiply
    12,500.51x = 18,741.47 × 7,569
  4. Step 4: Simplify right side
    12,500.51x = 141,854,148.59
  5. Step 5: Solve for x
    x = 141,854,148.59/12,500.51
  6. Step 6: Final answer
    x = 11,347.87

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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.