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Finding the Fourth Proportional to 22,858.45, 31,545.30 and 12,788.63

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Solution

The fourth proportional to 22,858.45, 31,545.30 and 12,788.63 is: 17,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.45 : 31,545.30 = 12,788.63 : x
  2. Step 2: Convert to fraction form
    22,858.45/31,545.30 = 12,788.63/x
  3. Step 3: Cross multiply
    22,858.45x = 31,545.30 × 12,788.63
  4. Step 4: Simplify right side
    22,858.45x = 403,421,283.97
  5. Step 5: Solve for x
    x = 403,421,283.97/22,858.45
  6. Step 6: Final answer
    x = 17,648.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.