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Finding the Fourth Proportional to 14,823.30, 22,215.35 and 7,788.94

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Solution

The fourth proportional to 14,823.30, 22,215.35 and 7,788.94 is: 11,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.30 : 22,215.35 = 7,788.94 : x
  2. Step 2: Convert to fraction form
    14,823.30/22,215.35 = 7,788.94/x
  3. Step 3: Cross multiply
    14,823.30x = 22,215.35 × 7,788.94
  4. Step 4: Simplify right side
    14,823.30x = 173,034,028.23
  5. Step 5: Solve for x
    x = 173,034,028.23/14,823.30
  6. Step 6: Final answer
    x = 11,673.11

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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.