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Finding the Fourth Proportional to 24,567.69, 36,825.26 and 12,709.53

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Solution

The fourth proportional to 24,567.69, 36,825.26 and 12,709.53 is: 19,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.69 : 36,825.26 = 12,709.53 : x
  2. Step 2: Convert to fraction form
    24,567.69/36,825.26 = 12,709.53/x
  3. Step 3: Cross multiply
    24,567.69x = 36,825.26 × 12,709.53
  4. Step 4: Simplify right side
    24,567.69x = 468,031,683.18
  5. Step 5: Solve for x
    x = 468,031,683.18/24,567.69
  6. Step 6: Final answer
    x = 19,050.70

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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.