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Finding the Fourth Proportional to 15,216, 22,788.16 and 12,766.56

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Solution

The fourth proportional to 15,216, 22,788.16 and 12,766.56 is: 19,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216 : 22,788.16 = 12,766.56 : x
  2. Step 2: Convert to fraction form
    15,216/22,788.16 = 12,766.56/x
  3. Step 3: Cross multiply
    15,216x = 22,788.16 × 12,766.56
  4. Step 4: Simplify right side
    15,216x = 290,926,411.93
  5. Step 5: Solve for x
    x = 290,926,411.93/15,216
  6. Step 6: Final answer
    x = 19,119.77

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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.