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Finding the Fourth Proportional to 24,567.84, 36,873.12 and 12,889.28

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Solution

The fourth proportional to 24,567.84, 36,873.12 and 12,889.28 is: 19,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.84 : 36,873.12 = 12,889.28 : x
  2. Step 2: Convert to fraction form
    24,567.84/36,873.12 = 12,889.28/x
  3. Step 3: Cross multiply
    24,567.84x = 36,873.12 × 12,889.28
  4. Step 4: Simplify right side
    24,567.84x = 475,267,968.15
  5. Step 5: Solve for x
    x = 475,267,968.15/24,567.84
  6. Step 6: Final answer
    x = 19,345.13

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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.