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Finding the Fourth Proportional to 12,983.86, 19,507 and 8,312.95

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Solution

The fourth proportional to 12,983.86, 19,507 and 8,312.95 is: 12,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.86 : 19,507 = 8,312.95 : x
  2. Step 2: Convert to fraction form
    12,983.86/19,507 = 8,312.95/x
  3. Step 3: Cross multiply
    12,983.86x = 19,507 × 8,312.95
  4. Step 4: Simplify right side
    12,983.86x = 162,160,715.65
  5. Step 5: Solve for x
    x = 162,160,715.65/12,983.86
  6. Step 6: Final answer
    x = 12,489.41

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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.