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Finding the Fourth Proportional to 24,567.25, 36,824.58 and 12,709.08

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Solution

The fourth proportional to 24,567.25, 36,824.58 and 12,709.08 is: 19,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.25 : 36,824.58 = 12,709.08 : x
  2. Step 2: Convert to fraction form
    24,567.25/36,824.58 = 12,709.08/x
  3. Step 3: Cross multiply
    24,567.25x = 36,824.58 × 12,709.08
  4. Step 4: Simplify right side
    24,567.25x = 468,006,533.19
  5. Step 5: Solve for x
    x = 468,006,533.19/24,567.25
  6. Step 6: Final answer
    x = 19,050.02

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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.